ENGLISH

Functional analysis: An introduction

By Yuli Eidelman , Vitali Milman , Antonis Tsolomitis

Book information

Publisher
American Mathematical Society
Year
2004
ISBN
0821836463, 9780821836460
Open Library ID
OL13571921M
Language
english
Format
DJVU
Filesize
10 MB (10055549 bytes)
Series
Graduate Studies in Mathematics
Pages
339\339
Library
Kolxo3
DPI
600
Orientation
yes
Scanned
no
Time added
2009-07-20 03:45:11

Description

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 text is ideal for a one-year course. It will also provide a sound basis for further study. It is suitable for graduate students and researchers interested in operator theory and functional analysis.

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