Problems in Operator Theory

Graduate Studies in Mathematics - volume 51

Y. A. Abramovich, C. D. Aliprantis

386 pages, parution le 09/04/2003

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Résumé

This is one of the few books available in the literature that contains problems devoted entirely to the theory of operators on Banach spaces and Banach lattices. The book contains complete solutions to the more than 600 exercises in the companion volume, An Invitation to Operator Theory, Volume 50 in the AMS series Graduate Studies in Mathematics, also by Abramovich and Aliprantis.

The exercises and solutions contained in this volume serve many purposes. First, they provide an opportunity to the readers to test their understanding of the theory. Second, they are used to demonstrate explicitly technical details in the proofs of many results in operator theory, providing the reader with rigorous and complete accounts of such details. Third, the exercises include many well-known results whose proofs are not readily available elsewhere. Finally, the book contains a considerable amount of additional material and further developments. By adding extra material to many exercises, the authors have managed to keep the presentation as self-contained as possible.

The book can be very useful as a supplementary text to graduate courses in operator theory, real analysis, function theory, integration theory, measure theory, and functional analysis. It will also make a nice reference tool for researchers in physics, engineering, economics, and finance.

Contents

Odds and ends
Basic operator theory
Operators on AL- and AM-spaces
Special classes of operators
Integral operators
Spectral properties
Some special spectra
Positive matrices
Irreducible operators
Invariant subspaces
The Daugavet equation
Bibliography

L'auteur - Y. A. Abramovich

Y. A. Abramovich, Indiana University-Purdue University, Indianapolis, IN

L'auteur - C. D. Aliprantis

C. D. Aliprantis, Purdue University, West Lafayette, IN

Caractéristiques techniques

	PAPIER
Éditeur(s)	American Mathematical Society (AMS)
Auteur(s)	Y. A. Abramovich, C. D. Aliprantis
Parution	09/04/2003
Nb. de pages	386
Format	18 x 26
Couverture	Relié
Poids	895g
Intérieur	Noir et Blanc
EAN13	9780821821473
ISBN13	978-0-8218-2147-3