9780821836460: Functional Analysis: An Introduction
Couverture rigide
ISBN 10 : 0821836463 ISBN 13 : 9780821836460
Editeur : American Mathematical Society, 2004

Synopsis

This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded self-adjoint operators. The text corresponds to material for two semester courses (Part I and Part II, respectively) and is essentially self-contained. Prerequisites for the first part are minimal amounts of linear algebra and calculus. For the second part, some knowledge of topology and measure theory is recommended. Each of the 11 chapters is followed by numerous exercises, with solutions given at the end of the book. The amount of mathematics presented in the book can well be absorbed in a year's study and will provide a sound basis for future reading. It is suitable for graduate students and researchers interested in operator theory and functional analysis.

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Éditeur
American Mathematical Society
Date d'édition
2004
Langue
anglais
ISBN 10 
0821836463
ISBN 13 
9780821836460
Reliure
Relié
Nombre de pages
322
Coordonnées du fabricant
non disponible
Personne responsable
non disponible