Introduction to Functional Analysis
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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
Format:Hardcover
Language:English
ISBN:0198514859
ISBN13:9780198514855
Release Date:October 1997
Publisher:Clarendon Press
Length:448 Pages
Weight:1.82 lbs.
Dimensions:1.2" x 6.5" x 9.5"
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