Introduction to Functional Analysis

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.

Author: Reinhold Meise, Dietmar Vogt
Publisher: Clarendon Press
Published: 10/09/1997
Pages: 448
Binding Type: Hardcover
Weight: 1.82lbs
Size: 9.46h x 6.50w x 1.17d
ISBN: 9780198514855

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