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Introduction to Functional Analysis

Introduction to Functional Analysis

Hardcover

Series: Oxford Graduate Texts in Mathematics, Book 2

AlgebraCalculusGeneral Mathematics

ISBN10: 0198514859
ISBN13: 9780198514855
Publisher: Clarendon Press
Published: Oct 9 1997
Pages: 448
Weight: 1.82
Height: 1.17 Width: 6.50 Depth: 9.46
Language: English
This book was written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces, it proceeds quickly to the central results of the field, including the theorem of Hahn-Banach. The spaces (p Lp (X, (), C(X)' and Sebolov spaces are introduced. A chapter on spectral theory contains the Riesz theory of compact operators, basic facts on Banach and C-algebras, and the spectral representation for bounded normal and unbounded self-adjoint operators for Hilbert spaces. A discussion of locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Frechet spaces and their duals.

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