Name: Numerical Range of Holomorphic Mappings and Applications (en Inglés)
Price: 113280.00 CLP
Availability: InStock
Author: Mark Elin; Simeon Reich; David Shoikhet
ISBN: 9783030050191

portada Numerical Range of Holomorphic Mappings and Applications (en Inglés)

Formato

Libro Físico

Editorial

Birkhäuser

Autor

Mark Elin; Simeon Reich; David Shoikhet

Año

2019

Idioma

Inglés

N° páginas

229

Encuadernación

Tapa Dura

ISBN13

9783030050191

N° edición

Categorías

Cálculo

Numerical Range of Holomorphic Mappings and Applications (en Inglés)

Mark Elin; Simeon Reich; David Shoikhet (Autor) · Birkhäuser · Tapa Dura

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Reseña del libro "Numerical Range of Holomorphic Mappings and Applications (en Inglés)"

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.