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         Operator Theory:     more books (100)
  1. Theory of Linear Operators in Hilbert Space by N. I. Akhiezer, I. M. Glazman, 1993-12-16
  2. Operator Theory and Its Applications (Fields Institute Communications, V. 25.)
  3. An Introduction to Models and Decompositions in Operator Theory by Carlos S. Kubrusly, 1997-08-19
  4. Lectures on Operator Theory (Fields Institute Monographs, 13)
  5. Perturbation Theory for Linear Operators (Classics in Mathematics) by Tosio Kato, 1995-02-15
  6. Banach Algebra Techniques in Operator Theory (Graduate Texts in Mathematics) by Ronald G. Douglas, 1998-07-27
  7. Introduction to the Theory of Linear Nonselfadjoint Operators, (Translations of mathematical monographs) by Israel Gohberg, 1969-06
  8. The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Classics in Mathematics) by Lars Hörmander, 2003-08-13
  9. Spectral Theory and Differential Operators (Cambridge Studies in Advanced Mathematics) by E. Brian Davies, 1996-11-28
  10. Linear Operator Theory in Engineering and Science (Applied Mathematical Sciences) by Arch W. Naylor, George R. Sell, 2000-02-23
  11. Theory of Operator Algebras II by Masamichi Takesaki, 2002-12-16
  12. The Extended Field of Operator Theory (Operator Theory: Advances and Applications)
  13. Operator Theory for Electromagnetics by George W. Hanson, Alexander B. Yakovlev, 2001-10-12
  14. A Course in Operator Theory (Graduate Studies in Mathematics) by John B. Conway, 1999-10-26

1. The Journal Of Operator Theory Home Page
Table of contents, list of accepted papers.

2. FRG: Collaborative Research: Focused Research On Wavelets, Frames, And Operator
An NSFFRG (Focused Research Group). A. Aldroubi, L. Baggett, J. Benedetto, C. Heil, (site host) P. Jorgensen, D. Larson, G. Olafsson, and Y. Wang. Workshops, special sessions, joint research.
NSF Focused Research Group:
Wavelets, Frames, and Operator Theory
This FRG will enhance collaboration among the members by:
  • holding regular think-tank-style workshops, involving students and postdocs in those workshops, exchanging students for short visits among the Principal Investigators, forming project subgroups to attack specific problem areas.
Contents A sample of the FRG research problems Project areas Participants Events ... Reports
A sample of the FRG research problems:
  • Definition: A subset is said to be a wavelet set for an expansive integral matrix if the inverse Fourier transform of is a wavelet, i.e., if the double indexed family , is an orthonormal basis for . (This is equivalent to tiling both under the translations and the scalings Problem A: Wavelet set implementation. Because of the structure of wavelet sets, their explicit constructions, and the potential usefulness of dealing with only one wavelet in higher dimensions, there are two immediate and natural problems. We wish to develop recursive programmable schemes for applications, cf. [BT93, Stro00a, Wic94], as well as a theoretical formulation in terms of frames, cf. [HL00, Han97]. This latter approach would sacrifice orthonormality, which is often not a sacrifice in applications dealing with noise reduction and stable representation. On the other hand, the frame theoretic approach would reduce the recursive complexity, it would add smoothness in the spectral domain, and it would provide an iterative method of signal reconstruction. Related to this whole issue is the necessity of a critical comparison of the geometrical constructions in [BS01] and the theoretical but constructive approach in [BMM99] in terms of multiplicity functions and finite von Neumann algebras.

3. 47: Operator Theory
Selected topics here 47 operator theory. Introduction. operator theory studies transformations between the vector spaces studied in Functional Analysis, such as differential operators or selfadjoint operators. 47N Miscellaneous applications of operator theory, see also 46NXX
Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
POINTERS: Texts Software Web links Selected topics here
47: Operator theory
Operator theory studies transformations between the vector spaces studied in Functional Analysis, such as differential operators or self-adjoint operators. The analysis might study the spectrum of an individual operator or the semigroup structure of a collection of them.
See e.g. Felippa, Carlos A.: "50 year classic reprint: an appreciation of R. Courant's "Variational methods for the solution of problems of equilibrium and vibrations" [Bull. Amer. Math. Soc. 49 (1943), 123; MR 4, 200]", Internat. J. Numer. Methods Engrg. 37 (1994), no. 13, 21592187.
Applications and related fields
  • General theory of linear operators
  • Special classes of linear operators
  • Individual linear operators as elements of algebraic systems
  • Groups and semigroups of linear operators, their generalizations and applications. See also 46LXX
  • Ordinary differential operators, See also 34BXX, 34LXX, 58F19

4. Operator Theory
operator theory. Linear operators for which T*T and TT* commute, Proc. Amer. Math. Soc., 34 (1972), 177180. Operator valued inner functions analytic on the closed disc, Pacific J. Math., 41 (1972)
Operator Theory
  • Linear operators for which T*T and TT* commute , Proc. Amer. Math. Soc., 34 (1972), 177-180.
  • Operator valued inner functions analytic on the closed disc , Pacific J. Math., 41 (1972), 57-62.
  • Inner functions analytic at a point , Illinois J. Math., 16 (1972).
  • The exponential representation of operator valued, differentiable inner functions , J. Differential Equations, 12 (1972), 455-461.
  • Commutation properties of the coefficient matrix in the differential equation of an inner function , Proc. Amer. Math. Soc., 42 (1974), 507-512.
  • Linear operators for which T*T and TT* commute II , Pacific J. Math. 53 (1974), 355-361.
  • Subnormal operators with nontrivial quasinormal extensions , Acta Scientiarum Math., (1975), 191-193, .
  • Linear operators for which T*T and T+T* commute , Pacific J. Math. 61 (1975), 53-57.
  • Operator-valued inner functions analytic on the closed disc two II , Pacific J. Math. 60, (1975), 37-49.
  • Spectral properties of linear operators for which T*T and T + T* commute , Proc. Amer. Math. Soc., 60 (1976), 197-202, (with R. Geller).
  • 5. Journal Of Operator Theory Issues
    Journal of operator theory. Past and Future Issues. Journal of operator theory (
    Journal of Operator Theory
    Past and Future Issues
    Volume 32. Number 1.

    Volume 32. Number 2.

    Volume 33. Number 1.

    Volume 33. Number 2.
    Volume 34. Number 2.

    Journal of Operator Theory (

    6. OTAMP 2004
    operator theory and Applications in Mathematical Physics. A satellite conference of 4ecm. Bedlewo Conference Center, Poland; 611 July 2004.
    Operator Theory and Applications
    in Mathematical Physics
    OTAMP 2004
    Satellite conference of the European Congress of Mathematics July 6-11, 2004
    Bedlewo Conference Center, POLAND

    Supported by European Science Foundation via the programme Spectral Theory and Partial Differential Equations (SPECT) and Stefan Banach International Mathematical Center
    (Krakow), P.Kurasov (Lund), A.Laptev (Stockholm),
    S.Naboko (St.Petersburg), G.Stolz (Birmingham)
    Special sessions
    I Spectral analysis of Schrödinger operators
    II Jacobi matrices and orthogonal polynomials
    III Quasi-periodic and random Schrödinger operators IV Methods of operator theory and applications IMPORTANT There will be a special session for PhD students participating in the conference. If you are young and interested, submit your abstract before June 1 for selection! Invited speakers First announcement Second announcement Conference fee ... Financial support Due to the limited size of the conference center, the registration for the conference is closed now. If you are interested in participating in the conference please contact the organizers using the e-mail link below. We will then try to arrange your participation. Additional information If you have any questions concerning participation in the conference, please contact the organizers.

    7. Thirteenth International Workshop On Operator Theory And Applications
    IWOTA 2002. Thirteenth International Workshop on. operator theory and Applications. Department of Mathematics, Virginia Tech, August 69, 2002 The International Workshop on operator theory and Applications (IWOTA) has met biannually since 1981 wide range of the latest developments in operator theory and its applications
    IWOTA 2002 Thirteenth International Workshop on Operator Theory and Applications Department of Mathematics Virginia Tech, August 6-9, 2002 The International Workshop on Operator Theory and Applications (IWOTA) has met biannually since 1981 and more frequently in recent years (starting in 1995) rotating among eight countries on three continents (see history ).The IWOTA conferences offer a rich program on a wide range of the latest developments in operator theory and its applications. The original concept of the workshop was as a satellite conference for operator theorists to the broader based international symposia on Mathematical Theory of Networks and Systems MTNS . While this concept is still in place, the scope of IWOTA has broadened considerably in recent years and has now attained an independent identity as a major world-wide conference for recent developments in core operator theory and its applications. List of Research Topics Operator and function theory

    8. The Univ. Of Iowa, Functional Analysis And Operator Theory Group
    Richard Baker. His interests are in operator algebras, specializing in nonselfadjoint operator algebras. He is also interested in quantum field theory and distributive artificial intelligence. Home
    Richard Baker His interests are in operator algebras , specializing in non-selfadjoint operator algebras . He is also interested in quantum field theory and distributive artificial intelligence Home Page Raul Curto His interests include Multivariable operator theory, C*-algebras, Several complex variables, Classical theory of moments Home Page Fred Goodman He is interested in operator algebras and combinatorial representation theory Home Page Palle Jorgensen His interests include wavelets quantum field theory Schrodinger operators discrete dynamical systems fractals Fourier analysis on fractals signal processing , and sub-band filters Home Page Art Kirk His interests include Nonlinear Functional Analysis, Metric Geometry Home Page Bor-Luh (Peter) Lin His interests include Banach space theory convex analysis , and abstract non-linear minimax theorems Home Page Paul Muhly He is interested in all aspects of operator theory and operator algebra . In recent years, his research has focused on the interplay between

    9. IWOTA 2004
    International Workshop on operator theory and Applications. University of Newcastle, UK; 1216 July 2004.
    Newcastle upon Tyne
    12-16 July 2004 The next International Workshop on Operator Theory and Applications (IWOTA) is being organised at the University of Newcastle, Newcastle upon Tyne, UK, where it will be held from Monday, 12 July to Friday, 16 July, 2004. IWOTA is conveniently scheduled near the time of the MTNS meeting (Mathematical Theory of Networks and Systems), to which it started off as a satellite conference. In 2004, MTNS will be held the preceding week in Leuven, Belgium. This IWOTA meeting will be the fifteenth in a series of highly successful IWOTA meetings. The previous IWOTA meetings were held in Santa Monica (1981), Rehovot (1983), Amsterdam (1985), Mesa AZ (1987), Rotterdam (1989), Sapporo (1991), Vienna (1993), Regensburg (1995), Bloomington (1995), Groningen (1998), Bordeaux (2000), Faro (2000), Blacksburg (2002) and Cagliari (2003). The organisers of the present meeting intend to adhere to the high standards set by these previous meetings. The purpose of IWOTA 2004 is to bring together mathematicians and engineers interested in operator theory and its applications. Adhering to to the tradition of recent meetings, our focus is primarily on a few special themes, suggested by research existing at Newcastle University and other British universities:

    10. Great Plains Operator Theory Symposium, 23rd Annual Meeting
    The 23rd Annual Great Plains operator theory Symposium. University of Illinois, UrbanaChampaign
    The 23rd Annual Great Plains Operator Theory Symposium
    University of Illinois, Urbana-Champaign
    May 28 - June 1, 2003 Visitor's Guide Program List of registered participants
    Invited speakers
    At this moment the following main speakers have agreed or tentatively agreed to give 50-minute plenary talks: William Arveson University of California, Berkeley, USA Hari Bercovici Indiana University, USA Marius Dadarlat Purdue University, USA Kenneth Dykema Edward G. Effros University of California, Los Angeles, USA George Elliott University of Toronto, Canada Eberhard Kirchberg Humboldt University, Germany Paul Muhly University of Iowa, USA Gilles Pisier Mikael Rordam University of Southern Denmark, Odense, Demark Roger Smith Masamichi Takesaki University of California, Los Angeles, USA Guoliang Yu Vanderbilt University, USA Alfons van Daele Katholieke Universiteit Leuven, Belgium In addition to the main speakers, we plan to have a number of invited 30-minute talks. We also plan parallel sessions for a limited number of 20-minute contributed talks.
    Florin Boca

    11. Great Plains Operator Theory Symposium At Iowa State-May 26-30, 1999
    The Great Plains operator theory Symposium (GPOTS) began as a regional conference at the University of conference in the area of operator theory/operator algebras in the world
    Contact Information
    Program Registration Postdoc/Membership Application Program Feedback ... Join our Mailing Lists
    Great Plains Operator Theory Symposium at Iowa State-May 26 - 30, 1999
    1. Introduction
    Participants include not only U.S. and Canadian mathematicians, but also some from Europe, Japan and Australia. The conference is not focused on a single theme, but encompasses a wide spectrum of operator theory and operator algebras, including applications. Thus, we have invited plenary speakers working in Von Neumann algebras, classification of C -algebras, nonsefladjoint algebras (including groupoid theory, inductive limit algebras), applications to statistics and electrical engineering. GPOTS is an opportunity for graduate students who are nearing completion and for young postdocs to talk about their work, and to meet with and interact with more established researchers.
    2. List of principal Principal Speakers

    12. Simon Eveson: York Operator Theory Meeting
    University of York, UK; 20 April 2001. Abstracts (PS,DVI).
    April 20, 2001
    A one-day meeting on Operator Theory, supported by the London Mathematical Society, will take place at the University of York on April 20, 2001. The talks will be held in Room V/123, Vanbrugh College, University of York.
    • Gordon Blower, University of Lancaster, UK Carsten Michels, University of Leeds, UK Nicholas Young, University of Newcastle upon Tyne, UK
    Coffee and Registration, Vanbrugh landing Oscar Blasco Vector valued multipliers on Bergman spaces (abstract in PostScript or DVI format) Gordon Blower Almost sure weak convergence for the generalized orthogonal ensemble (abstract in PostScript or DVI format) Lunch, Vanbrugh Senior Common Room Nikolai Nikolski (abstract in PostScript or DVI format) Carsten Michels Eigenvalue estimates for operators and matrices (abstract in PostScript or DVI format) Isabelle Chalendar On the structure of invariant subspaces for isometric composition operators (abstract in PostScript or DVI format) Nicholas Young Function theory and geometry in the symmetrised bidisc (abstract in PostScript or DVI format) Dinner All talks are in room V/123.

    13. IEOT Published By Birkhäuser Verlag AG
    IEOT. For Table of Contents, Abstracts and Articles see El. edition, Integral Equations and operator theory ISSN 0378620X Published by Birkhäuser Verlag
    For Table of Contents,
    Abstracts and Articles
    see: Integral Equations and Operator Theory
    ISSN 0378-620X
    IEOT is devoted to the publication of current research in integral equations, operator theory and related topics, with emphasis on the linear aspects of the theory. About IEOT
    Subscription Information

    Editorial Board

    Notes to Authors

    Please send any comments and/or suggestions you may have by
    e-mail to Home Search For Authors Top ...
    Last update: 21.04.2004

    14. Functional Analysis Workshop, Joensuu
    Banach spaces and operator theory, Frechet and related spaces, and applications to analytic function spaces. Joensuu, Finland; 2024 June 2004.
    Functional Analysis Workshop
    Joensuu 20.-24.6.2004
    Satellite conference of 4ECM Stockholm 2004
    Main lectures by
    Klaus Bierstedt Paderborn Valencia Alexander Borichev Bordeaux Chen Huaihui Nanjing Gilles Godefroy Paris Sergei Kislyakov St. Petersburg Reinhold Meise Artur Nicolau Barcelona Edward Odell Austin David Preiss London Eero Saksman Joel Shapiro East Lansing Dietmar Vogt Wuppertal Problem: Is the surrounding photo taken at midnight on June 24th?
    Last update April 28th, 2004

    15. Banach Algebra Resources
    Links of interest in Banach algebras and related areas (operator theory, abstract harmonic analysis, C*algebras, and operator spaces). Maintained by Volker Runde.
    Volker Runde , Banach Algebra Resources
    This page contains links of interest to people working in Banach algebras and related areas (operator theory, abstract harmonic analysis, C -algebras, operator spaces, etc.). It is still under construction (and probably will be forever). If you know a link that should be added or if you find that one of the links from this page has become inaccurate, please email me. Conferences Banach Algebras '97 Banach Algebras 1999 Banach Spaces, Operators and Algebras
    International Conference on Banach Algebras and Cohomology - Newcastle (ICBACN)
    2004 Instanbul International Abstract Harmonic Analysis Conference
    Mathematicians' homepages A Charles A. Akemann
    Ernst Albrecht

    Graham R. Allan

    Robert J. Archbold
    Bernard Aupetit
    B Catalin Badea
    Line Baribeau

    Bruce A. Barnes

    Charles J. Batty
    Laura Burlando
    C Isabelle Chalendar Erik Christensen John B. Conway Joachim Cuntz ... Philip C. Curtis, Jr. D H. Garth Dales Kenneth R. Davidson Peter G. Dixon Yngve Domar ... Driss Drissi E Siegfried Echterhoff Edward G. Effros Juliana Erlijman Jean Esterle F Douglas R. Farenick

    16. SpringerLink - Publication Journal of operator theory s Home PageJournal of operator theory. THE INSTITUTE OF MATHEMATICS OF THE ROMANIAN ACADEMY BUCHAREST.

    17. Journal Of Operator Theory's Home Page
    Journal of operator theory. Many of the documents referenced here are in dvi format. If you would prefer to view the documents in PostScript form, click here. Journal of operator theory ( Page created by Tracy Atteberry Journal of operator theory. THE INSTITUTE OF MATHEMATICS
    Journal of Operator Theory
    Editorial Board

    Journal Requirements

    Brief History of the Journal

    Past and Future Issues

    Many of the documents referenced here are in dvi format.
    If you would prefer to view the documents in PostScript form, click here Journal of Operator Theory ( Page created by Tracy Atteberry

    18. Alexander Alldridge, Research Group Geometric Analysis, Dept. Of Mathematics, Un
    University of Marburg. operator theory, geometric analysis, semisimple Lie groups.
    Dipl.-Math. Alexander Alldridge
    University of Marburg
    Department of Mathematics and Computer Science

    D-35032 Marburg
    Address / Kontakt
    Research / Forschung Lectures / Vorlesungen Further information / Zur Person
    Address / Kontakt
    • Phone: +49-6421-28-2 65 56, fax: +49-6421-28-2 89 86
      Room no: 8703 (level A8)
      Office hours: 9 a.m.-6 p.m.
    • Sprechzeit: Dienstag, 15.45-16.30 Uhr, oder nach Vereinbarung
    • Assistant of / Mitarbeiter von: Prof. Dr. H. Upmeier , phone +49-6421-28-2 54 88
    • Secretary / Sekretariat: Frau M. Teubner , phone +49-6421-28-2 54 89
    Research / Forschung
    • Speciality: Toeplitz Operators on semi-simple Lie groups
      This is related to the topics:
      • Operator Theory / Functional Analysis
      • Integral Geometry / Complex Analysis
      • Harmonic Analysis and Representation Theory of semi-simple Lie groups
      • Geometric Quantization
    • Publications and Drafts
      • A. Alldridge and H. Upmeier: Toeplitz Operators on Hardy Spaces over SL(2,R): Irreducibility and Representations, Banach Cent. Publ. 55 (2002), p. 173-209. abstract
      • A. Alldridge: Embedding Discrete Series Representations of Semi-Simple Subgroups of a Semi-Simple Lie Group, unpublished.

    19. History Of Operator Theory
    A Short History of operator theory. by Evans M. Harrell II. © 2004. Unrestricted operator theory in the First Half of the Twentieth Century. The
    A Short History of Operator Theory
    by Evans M. Harrell II
    In the first textbook on operator theory, published in Warsaw 1932, Stefan Banach states that the subject of the book is the study of functions on spaces of infinite dimension, especially those he coyly refers to as spaces of type B, otherwise Banach spaces definition This was a good description for Banach, but tastes vary. I propose rather the "operational" definition that operators act like matrices . And what that means depends on who you are. If you are an engineering student, matrices are particular symbols you manipulate to solve linear systems. As a working engineer you may instead use Heaviside's operational calculus, in which you are permitted to do all sorts of dangerous manipulations of symbols for derivatives and what not, exactly as if they were matrices, in order to solve linear problems of applied analysis. About 90% of the time you will get the right answer, just like the student; somewhat more with experience. And that is good enough, if the bridges you build aren't where I drive. In mathematics the student of elementary analysis learns that matrices are linear functions relating finite-dimensional vector spaces, and conversely. As a working mathematician the analyst has lost all fear of minor matters like infinity, and will happy agree with Banach's definition.

    Numerous counterexamples related to Banach and Hilbert spaces, operator theory, Banach algebras, C*algebras, W*-algebras, and Topological homology.
    C F A S I T E
    The purpose is to provide a collection of examples in functional analysis and operator theory as a small encyclopedic for graduate students and all readers who are interested in the subject. These examples are interesting on their own and some of them are culled from different sources. I cordially ask you to send to me any ideas, comments, corrections or supplements completing this page. I am proud to thank Professor N. Christopher Phillips for his kindness and helpful suggestions.
    BANACH AND HILBERT SPACES OPERATOR THEORY BANACH ALGEBRAS C*-ALGEBRAS and W*-ALGEBRAS ... ALL COUNTEREXAMPLES A RESOURCE OF EXAMPLES CFAEXA.dvi CFAEXA.htm CFAEXA.pdf REFERENCES CFAREF.dvi CFAREF.htm CFAREF.pdf This site is last updated on April 5, 2003. There have been accesses to this page since April 1, 2000.

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