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         Operator Theory:     more books (100)
  1. Linear Operator Theory in Engineering and Science (Applied Mathematical Sciences) (Volume 0) by Arch W. Naylor, George R. Sell, 2000-02-23
  2. Fundamentals of the Theory of Operator Algebras (Graduate Studies in Mathematics, V. 15) by John R. Ringrose Richard V. Kadison, 1997-07-01
  3. Operator Methods in Quantum Mechanics by Martin Schechter, 2003-02-03
  4. Operator Theory for Electromagnetics: An Introduction by George W. Hanson, Alexander B. Yakovlev, 2010-11-02
  5. Operator Algebras: Theory of C*-Algebras and von Neumann Algebras (Encyclopaedia of Mathematical Sciences) by Bruce Blackadar, 2009-12-15
  6. Theory of Operator Algebras I (Operator Algebras and Non-Commulative Geometry V) by M. Takesaki, 2001-12-18
  7. Operator Theory in Function Spaces (Mathematical Surveys and Monographs) by Kehe Zhu, 2007-05-23
  8. Elements of Operator Theory by Carlos S. Kubrusly, 2010-11-26
  9. An Invitation to Operator Theory (Volume 50) and Problems in Operator Theory (Volume 51) (v. 50) by Y. A. Abramovich and C. C. Aliprantis, 2002-09-10
  10. A Course in Operator Theory (Graduate Studies in Mathematics) by John B. Conway, 1999-10-26
  11. Spectral Theory of Linear Operators: and Spectral Systems in Banach Algebras (Operator Theory: Advances and Applications) by Vladimir Müller, 2007-10-23
  12. Basic Operator Theory by Israel Gohberg, Seymour Goldberg, 2001-07-27
  13. Banach Algebra Techniques in Operator Theory (Graduate Texts in Mathematics) (v. 179) by Ronald G. Douglas, 1998-07-27
  14. Composition Operators: and Classical Function Theory (Universitext / Universitext: Tracts in Mathematics) (Volume 0) by Joel H. Shapiro, 1993-08-26

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. 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.

4. 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 Participants Book of abstracts Program Proceedings ... Photo Gallery Jan Janas najanas at the server Pavel Kurasov kurasov at the server Sergey Naboko naboko at the server Ari Laptev laptev at the server Gunter Stolz stolz at the server

5. Modern Methods Of Time-Frequency Analysis
Special session at the Erwin Schr¶dinger Institute for Mathematical Physics (ESI), Vienna, Austria. Topics Group theoretical methods, operator theory, and nonorthogonal expansions; Time-frequency methods for pseudo-differential operators; Non-orthogonal expansions and greedy algorithms; Noncommutative computational harmonic analysis. 4 April - 9 July 2005.
Program and Schedule for the Special Semester
``Modern Methods of Time-Frequency Analysis''
SPRING 2005, at the
Erwin Schrödinger Institut
Organizers: Hans G. Feichtinger, K. Gröchenig, J.J. Benedetto We are presently running a special semester on modern time-frequency analysis spring 2005 at ESI The conference in Strobl (late May) has to be seen as a separate event in this respect and different funding rules apply. (New) registration and updates, change of dates or information about the talks can be entered into our DATABASE here ! (note that it is not linked with the ESI secretaries, so that hotel arrangements etc. have to be made via E-mail to them directly) Complete ESI-visitors list some PICTURES from the first two meeting + HASSIP workshop and midtermmeeting (new "thumbnails"). Some NEW PICTURES from the June - Workshop. SURVEY of SCHEDULES and PREVIEW: (people) click here !! (overview) over participation and talks. Thes is no a complete list of ESI-Talks so far! ACCESS to NuHAG talks (also for the purpose of editing and adding links!!

6. Math On The Web Mathematics By Classifications
47 operator theory. Information Site The relevant section of Modern Analysis Online (King's College, London, UK)

7. Right
The latest issue of the Journal of operator theory. Latest issue of the. Journal of operator theory. Volume 54, number 1, Summer 2005
Latest issue of the Journal of Operator Theory Volume 54, number 1, Summer 2005
N.P. Brown
Excision and a theorem of Popa
A. Manavi, H. Vogt, J. Voigt
Domination of semigroups associated with sectorial forms
Marie-Claude David
H. Bercovici, Wing Suet Li, T. Smotzer
Continuous versions of the Littlewood-Richardson rule, selfadjoint operators, and invariant spaces
P.S. Chakraborty
Metrics on the quantum Heisenberg manifold
W.B. Arveson $p$-Summable commutators in dimension $d$ M. Skeide Von Neumann modules, intertwiners and self-duality L. Robert Similarity of perturbations of Hessenberg matrices Q. Xu On the maximality of subdiagonal algebras Sophie Grivaux Hypercyclic operators, mixing operators, and the bounded steps problem M. Didas Invariant subspaces for commuting pairs with normal boundary dilation and dominating Taylor spectrum R.E. Curto, L.A. Fialkow Truncated $k$-moment problems in several variables

8. 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 International Conference on Banach Algebras and Cohomology - Newcastle (ICBACN)
Banach Algebras 2001
The Fourth Conference on Function Spaces ... The Fifth Conference on Function Spaces Mathematicians' homepages A Charles A. Akemann
Ernst Albrecht

Graham R. Allan

Robert J. Archbold
William Arveson
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

9. Mathematical Subject Classification
47xx operator theory 49-xx Calculus of variations and optimal control; optimization See also 34H05, 34K35, 65Kxx, 90Cxx, 93-xx

10. History Of Operator Theory
In the first textbook on operator theory, Théorie des Opérations Linéaires, The most thorough history of operator theory of which I am aware is Jean
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.

11. 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.

12. 47 Operator Theory
47 operator theory

13. 47: Operator Theory
operator theory studies transformations between the vector spaces studied in Functional Analysis, such as differential operators or selfadjoint operators.
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

14. The Journal Of Operator Theory Home Page
The latest issue of the Journal of operator theory Latest issue of the Journal of operator theory Volume 52, number 2, Fall 2004

15. SpringerLink - Publication What is operator theory?What is operator theory? operator theory is the study of operators, and the techniques that are used are a combination of algebra and functional

16. Journal Of Operator Theory's Home Page

17. This Year SUMIRFAS Is Dedicated To Haskell P. Rosenthal On The
Banach Space Bulletin Board The Probability Web Operator Algebras Page Math Questions Texas A M University

18. The Univ. Of Iowa, Functional Analysis And Operator Theory Group
Raul Curto, His interests include Multivariable operator theory, Paul Muhly, He is interested in all aspects of operator theory and operator algebra.
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

19. EU Research Training Network
Classical Analysis, operator theory, Geometry of Banach spaces, their interplay and their applications. Contract No. HPRNCT-2000-00116

20. OT20 - Web Page
The 20th Conference in operator theory, organized jointly in Timisoara by the As usually, the conference is devoted to operator theory, operator
20th International Conference on Operator Theory
Programme Abstracts Travel Arrival ... Contact
The 20th Conference in Operator Theory, organized jointly in Timisoara by the Institute of Mathematics of the Romanian Academy and the West University in Timisoara , will take place between June 30 and July 5, 2004, in Timisoara, Romania.
The editors of the Journal of Operator Theory: W.B. Arveson
K.R. Davidson
N.K. Nikolski
S. Stratila
F.-H. Vasilescu
constitute the Steering Committee of the conference.
The local Organizing Committee is formed by: D. Gaspar, N. Cofan, T.Ceausu, A. Craciunescu, P. Gaspar, A. Gheondea, R.N. Gologan, D. Paunescu, D. Popovici, I. Stan, N. Suciu, A. Terescenco, D. Timotin
As usually, the conference is devoted to operator theory, operator algebras and their applications (differential operators, complex functions, mathematical physics, matrix analysis, systems theory, etc.).
List of invited speakers:
A. Atzmon, J.A. Ball, H. Bercovici, O. Bratteli, G. Cassier, B. Chevreau, E. Christensen, C. D'Antoni, G.A. Elliott, A.Ya. Helemskii, J. Janas, Y. Kawahigashi, L. Kerchy, J.-Ph. Labrousse, H. Langer, R. Longo, Ch. Le Merdy, M. Mbekhta, V. Muller, C. Peligrad, F. Radulescu, R. Rochberg, K. Schmudgen, E. Stormer, S.L. Woronowicz, L. Zsido
You can find here a tentative list of all participants, as of June 10th, 2004.

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