Introduction to Functional Analysis

by Reinhold Meise, Dietmar Vogt, M. S. Ramanujan

Overview

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.

Product Details

ISBN-13:	9780198514855
Publisher:	Oxford University Press
Publication date:	10/09/1997
Series:	Oxford Graduate Texts in Mathematics , #2
Edition description:	New Edition
Pages:	448
Product dimensions:	9.46(w) x 6.50(h) x 1.17(d)

About the Author

Heinrich Heine University, Dusseldorf

University of Wuppertal

Table of Contents

Preliminaries1. Banach spaces and Metric Linear Spaces2. Spectral Theory of Linear Operators3. Fréchet Spaces and their Dual Spaces