A First Course in Functional Analysis

Front Cover
Alpha Science International Limited, Jan 1, 2006 - Mathematics - 399 pages
"A First Course in Functional Analysis lucidly covers Banach Spaces. Continuous linear functionals, the basic theorems of bounded linear operators, Hilbert spaces, Operators on Hilbert spaces. Spectral theory and Banach Algebras usually taught as a core course to post-graduate students in mathematics. The special distinguishing features of the book include the establishment of the spectral theorem for the compact normal operators in the infinite dimensional case exactly in the same form as in the finite dimensional case and a detailed treatment of the theory of Banach algebras leading to the proof of the Gelfand-Neumark structure theorem for Banach algebras."--BOOK JACKET.

From inside the book

What people are saying - Write a review

User Review - Flag as inappropriate

The book was good

Contents

Banach Spaces
1
Continuous Linear Functionals
79
The Basic Theorems of Bounded Linear Operators
140

5 other sections not shown

Common terms and phrases

Bibliographic information