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Titlebook: Numerical Range of Holomorphic Mappings and Applications; Mark Elin,Simeon Reich,David Shoikhet Book 2019 Springer Nature Switzerland AG 2

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發(fā)表于 2025-3-21 17:13:29 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Numerical Range of Holomorphic Mappings and Applications
編輯Mark Elin,Simeon Reich,David Shoikhet
視頻videohttp://file.papertrans.cn/670/669165/669165.mp4
概述Explores, as a first book, the numerical range of holomorphic mappings.Presents in detail applications of the numerical range to solutions of diverse geometrical and analytic problems.Includes a surve
圖書封面Titlebook: Numerical Range of Holomorphic Mappings and Applications;  Mark Elin,Simeon Reich,David Shoikhet Book 2019 Springer Nature Switzerland AG 2
描述.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.. .?.
出版日期Book 2019
關(guān)鍵詞numerical range; holomorphic mapping; semigroup; fixed point; infinitesimal generator; dissipative mappin
版次1
doihttps://doi.org/10.1007/978-3-030-05020-7
isbn_ebook978-3-030-05020-7
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:22:17 | 只看該作者
https://doi.org/10.1007/978-3-030-05020-7numerical range; holomorphic mapping; semigroup; fixed point; infinitesimal generator; dissipative mappin
板凳
發(fā)表于 2025-3-22 03:16:56 | 只看該作者
Semigroups of Linear Operators,In this chapter we mostly use standard concepts of operator theory which can be found, for example, in [38, 54, 111, 116, 117] and [240].
地板
發(fā)表于 2025-3-22 04:35:22 | 只看該作者
Numerical Range,In this chapter we introduce and study the main topic of our book: holomorphic mappings, their numerical range, growth estimates of it and related material.
5#
發(fā)表于 2025-3-22 09:35:32 | 只看該作者
Fixed Points of Holomorphic Mappings,In this chapter we study conditions on a holomorphic mapping F :D →X which ensure that the set D∩F(D) contains a fixed point of F. A standard situation in this study is when F is a holomorphic self-mapping of D.
6#
發(fā)表于 2025-3-22 16:20:50 | 只看該作者
Springer Nature Switzerland AG 2019
7#
發(fā)表于 2025-3-22 21:02:41 | 只看該作者
Mark Elin,Simeon Reich,David ShoikhetExplores, as a first book, the numerical range of holomorphic mappings.Presents in detail applications of the numerical range to solutions of diverse geometrical and analytic problems.Includes a surve
8#
發(fā)表于 2025-3-22 21:30:32 | 只看該作者
Ergodic Theory of Holomorphic Mappings, a way similar to how the “big bang” seems to determine future developments. Most important among such approximations are those associated to fixed points of the given holomorphic mapping, stationary points of semigroups of holomorphic mappings, and null points of semigroup generators.
9#
發(fā)表于 2025-3-23 05:17:35 | 只看該作者
Book 2019theory 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
10#
發(fā)表于 2025-3-23 07:52:31 | 只看該作者
f diverse geometrical and analytic problems.Includes a surve.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
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