Bounded Symmetric Domains In Banach Spaces

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Bounded Symmetric Domains In Banach Spaces

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Author : Cho-ho Chu
language : en
Publisher: World Scientific
Release Date : 2020-09-10

Bounded Symmetric Domains In Banach Spaces written by Cho-ho Chu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-10 with Mathematics categories.

This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.This monograph is intended as a convenient reference for researchers and graduate students in geometric analysis, infinite dimensional holomorphy as well as functional analysis and operator theory.

Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces

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Author : Simeon Reich
language : en
Publisher: Imperial College Press
Release Date : 2005

Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces written by Simeon Reich and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments.

Holomorphic Automorphism Groups In Banach Spaces

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Author : J.M. Isidro
language : en
Publisher: Elsevier
Release Date : 2011-08-18

Holomorphic Automorphism Groups In Banach Spaces written by J.M. Isidro and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.

Holomorphic Automorphism Groups in Banach Spaces

Symmetric Banach Manifolds And Jordan C Algebras

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Author : H. Upmeier
language : en
Publisher: Elsevier
Release Date : 2011-08-18

Symmetric Banach Manifolds And Jordan C Algebras written by H. Upmeier and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.

This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes in a systematic way a wealth of recent results which are so far only accessible in research journals and contains additional original contributions. Using Banach Lie groups and Banach Lie algebras, a theory of transformation groups on infinite dimensional manifolds is presented which covers many important examples such as Grassmann manifolds and the unit balls of operator algebras. The theory also has potential importance for mathematical physics by providing foundations for the construction of infinite dimensional curved phase spaces in quantum field theory.

Complex Dynamical Systems And The Geometry Of Domains In Banach Spaces

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Author : Mark Elin
language : en
Publisher:
Release Date : 2004

Complex Dynamical Systems And The Geometry Of Domains In Banach Spaces written by Mark Elin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Banach spaces categories.

Finite Or Infinite Dimensional Complex Analysis

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Author : Joji Kajiwara
language : en
Publisher: CRC Press
Release Date : 2019-05-07

Finite Or Infinite Dimensional Complex Analysis written by Joji Kajiwara and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-07 with Mathematics categories.

This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.

Jordan Algebras In Analysis Operator Theory And Quantum Mechanics

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Author : Harald Upmeier
language : en
Publisher: American Mathematical Soc.
Release Date : 1987-01-01

Jordan Algebras In Analysis Operator Theory And Quantum Mechanics written by Harald Upmeier and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Mathematics categories.

Geometrical Aspects Of Functional Analysis

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Author : Joram Lindenstrauss
language : en
Publisher: Springer
Release Date : 2006-11-15

Geometrical Aspects Of Functional Analysis written by Joram Lindenstrauss and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

These are the proceedings of the Israel Seminar on the Geometric Aspects of Functional Analysis (GAFA) which was held between October 1985 and June 1986. The main emphasis of the seminar was on the study of the geometry of Banach spaces and in particular the study of convex sets in and infinite-dimensional spaces. The greater part of the volume is made up of original research papers; a few of the papers are expository in nature. Together, they reflect the wide scope of the problems studied at present in the framework of the geometry of Banach spaces.

Operator Algebras Operator Theory And Applications

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Author : Maria Amélia Bastos
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-05-27

Operator Algebras Operator Theory And Applications written by Maria Amélia Bastos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-27 with Mathematics categories.

This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.

Current Topics In Operator Algebras Proceedings Of The Satellite Conference Of Icm 90

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Author : Y Nakagami
language : en
Publisher: World Scientific
Release Date : 1991-04-29

Current Topics In Operator Algebras Proceedings Of The Satellite Conference Of Icm 90 written by Y Nakagami and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-04-29 with categories.

The topics covered in this proceedings include the C* — dynamical systems, the index theory of subfactors, the noncommutative differential geometry and the quantum groups. This volume presents an overview of the present status of the theory of operator algebras, as well as an outlook for its future development.