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.
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About the Author
Reinhard Meise is at Heinrich Heine University, Dusseldorf. Dietmar Vogt is at Beigische University, Wouppeitat.
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Introduction to Functional Analysis (Hardcover)
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Oxford University Press, Oxford, 1997
ISBN 10: 0198514859
ISBN 13: 9780198514855
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Hardcover. Condition: new. Hardcover. 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 spectraltheory 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 dualitytheory provides the basis for a comprehensive treatment of Frechet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Frechet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field. The book provides an introduction to a central part of mathematical analysis. It can be used as a textbook for beginner courses in functional analysis. In its last chapter results from the theory of Frechet spaces are presented. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198514855
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