| 书目名称 | Numerical Range of Holomorphic Mappings and Applications |
| 编辑 | Mark Elin,Simeon Reich,David Shoikhet |
| 视频video | |
| 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 |
| 图书封面 |  |
| 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 |
| 关键词 | numerical range; holomorphic mapping; semigroup; fixed point; infinitesimal generator; dissipative mappin |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-05020-7 |
| isbn_ebook | 978-3-030-05020-7 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 17:13:29
