Introduction to Functional Analysis

Reinhold Meise, Dietmar Vogt

ISBN 10: 0198514859 / ISBN 13: 9780198514855

Published by Oxford University Press, GB, 1997

About this Item

The book is 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 HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov 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 in Hilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Fréchet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Fréchet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.

Seller Inventory # LU-9780198514855

Bibliographic Details

• Title: Introduction to Functional Analysis
• Publisher: Oxford University Press, GB
• Publication Date: 1997
• Language: English
• ISBN 10: 0198514859
• ISBN 13: 9780198514855
• Binding: Hardback
• Condition: New
• Weight: 757 grams

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.