Functional Analysis: An Introduction (Graduate Studies in Mathematics) - Hardcover

Eidelman, Yuli; Milman, Vitali; Tsolomitis, Antonis

Hardcover

ISBN 10: 0821836463 ISBN 13: 9780821836460

Publisher: American Mathematical Society, 2005

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.

About this title

Review

“This book contains a wealth of material. Each chapter concludes with a comprehensive set of exercises that serve to illustrate the theory. Solutions to the exercises are given in the final section.” -- Mathematical Reviews

Edition details

• Publisher: American Mathematical Society
• Publication date: 2005
• ISBN 10: 0821836463
• ISBN 13: 9780821836460
• Binding: Hardcover
• Language: English
• Number of pages: 322