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Opis

This book describes recent developments as well as a historical outline of 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 is then discussed in more detail and an overview of ergodic theory 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 is 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 is 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.

Szczegóły książki

• Pełny tytuł: Numerical Range of Holomorphic Mappings and Applications
• Autor: Mark Elin, Simeon Reich, David Shoikhet
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 229
• EAN: 9783030050191
• ID: 20556366
• Wydawca: Springer Nature Switzerland AG
• Waga: 535 g
• Wymiary: 235 × 155 × 19 mm
• Data wydania: 21. March 2019

Ulubione w innej kategorii

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