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Numerical Range of Holomorphic Mappings and Applications

Af: David Shoikhet, Mark Elin, Simeon Reich Engelsk Hardback

Numerical Range of Holomorphic Mappings and Applications

Af: David Shoikhet, Mark Elin, Simeon Reich Engelsk Hardback
Tjek vores konkurrenters priser

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.

 


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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.

 


Produktdetaljer
Sprog: Engelsk
Sider: 229
ISBN-13: 9783030050191
Indbinding: Hardback
Udgave:
ISBN-10: 303005019X
Udg. Dato: 21 mar 2019
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 21 mar 2019
Forfatter(e) David Shoikhet, Mark Elin, Simeon Reich


Kategori Kompleks analyse, komplekse variabler


ISBN-13 9783030050191


Sprog Engelsk


Indbinding Hardback


Sider 229


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 21 mar 2019


Oplagsdato 21 mar 2019


Forlag Springer Nature Switzerland AG

Kategori sammenhænge