Introduction to functional analysis / Reinhold Meise and Dietmar Vogt ; translated by M.S. Ramanujan.

Format:

Book

Author/Creator:

Meise, Reinhold, 1945-

Contributor:

Vogt, Dietmar, 1941-

Series:

Oxford graduate texts in mathematics ; 2.

Oxford science publications

Oxford graduate texts in mathematics ; 2

Standardized Title:

Einfuhrung in die Funktionalanalysis. English

Language:

English

German

Subjects (All):

Functional analysis.

Physical Description:

x, 437 pages ; 25 cm.

Place of Publication:

Oxford : Clarendon Press ; New York : Oxford University Press, 1997.

Summary:

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.

Notes:

Includes bibliographical references (pages [425]-428) and indexes.

ISBN:

0198514859

OCLC:

37141072