Introduction to Functional Analysis (Oxford Graduate Texts in Mathematics)

Meise, Reinhold

ISBN 10: 0198514859 / ISBN 13: 9780198514855

Published by Clarendon Press, 1997

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Bibliographic Details

• Title: Introduction to Functional Analysis (Oxford Graduate Texts in Mathematics)
• Publisher: Clarendon Press
• Publication Date: 1997
• Language: English
• ISBN 10: 0198514859
• ISBN 13: 9780198514855
• Binding: Hardcover
• Condition: new

About this title

Synopsis

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.

About the Author

Reinhard Meise is at Heinrich Heine University, Dusseldorf. Dietmar Vogt is at Beigische University, Wouppeitat.