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Synopsis
The study of composition operators forges links between fundamental properties of linear operators and beautiful results from the classical theory of analytic functions. This book provides a self-contained introduction to both the subject and its function-theoretic underpinnings, and features a development accessible to anyone who has studied basic graduate level real and complex analysis. The work traces how such operator-theoretic issues as boundedness, compactness, and cyclicity, when studied in the context of composition operators, evolve into questions about subordination, value-distribution, angular derivatives, iteration, and functional equations; and it carefully develops each of these classical topics.
"synopsis" may belong to another edition of this title.
Synopsis
The study of composition operators links fundamental properties of linear operators and results from the classical theory of analytic functions. The author provides a self-contained introduction to both the subject and its function-theoretic underpinnings. He explores how operator-theoretic issues such as boundedness, compactness, and cyclicity evo
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date1993
- ISBN 10 0387940677
- ISBN 13 9780387940670
- BindingPaperback
- LanguageEnglish
- Number of pages239
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Composition Operators and Classical Function Theory
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Composition Operators and Classical Function Theory
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Composition Operators: and Classical Function Theory (Universitext)
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Composition Operators: and Classical Function Theory (Universitext / Universitext: Tracts in Mathematics)
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Composition Operators and Classical Function Theory
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Composition Operators: and Classical Function Theory (Universitext)
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Composition Operators: and Classical Function Theory (Universitext: Tracts in Mathematics)
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Composition Operators
Published by
Springer New York Aug 1993, 1993
ISBN 10: 0387940677
ISBN 13: 9780387940670
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin's textbook Real and Complex Analysis [Rdn '87]: Chapters 1-7 (measure and integra tion, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin's book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this. 244 pp. Englisch. Seller Inventory # 9780387940670
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Composition Operators: and Classical Function Theory
Published by
Springer-Verlag New York Inc., 1993
ISBN 10: 0387940677
ISBN 13: 9780387940670
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