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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.
- Sales Rank: #3879327 in Books
- Published on: 1997-10-09
- Original language: English
- Number of items: 1
- Dimensions: 9.30" h x 1.20" w x 6.20" l, 1.82 pounds
- Binding: Hardcover
- 448 pages
Review
The book can be warmly recommended to graduate students of mathematics and physics and also everybody interested in functional analysis.
Language Notes
Text: English (translation)
Original Language: German
About the Author
Reinhard Meise is at Heinrich Heine University, Dusseldorf. Dietmar Vogt is at Beigische University, Wouppeitat.
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