Numerical Range of Holomorphic Mappings and Applications
Language: English
Published by Palgrave Macmillan, 2019
- Hardcover
- New
Condition: New
US$ 129.05
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Explores, as a first book, the numerical range of holomorphic mappingsPresents in detail applications of the numerical range to solutions of diverse geometrical and analytic problemsIncludes a survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems Sprache: Englisch Gewicht in Gramm: 483.
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- Title
- Numerical Range of Holomorphic Mappings and Applications
- Author
- Simeon Reich, Mark Elin, David Shoikhet
- Publisher
- Palgrave Macmillan
- Publication year
- 2019
- Condition
- Neu
- Binding
- Gebundene Ausgabe
- Language
- English
- ISBN 10
- 303005019X
- ISBN 13
- 9783030050191
- Item weight
- 483 grams
This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems.
"About the title" may belong to another edition of this title.
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