An Introduction To Bounded Symmetric Domains

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An Introduction To Bounded Symmetric Domains

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Author : Pauline Mellon
language : en
Publisher:
Release Date : 2000

An Introduction To Bounded Symmetric Domains written by Pauline Mellon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Functional analysis categories.

Bounded Symmetric Domains In Banach Spaces

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Author : Cho-Ho Chu
language : en
Publisher:
Release Date : 2020

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

Introduction. Holomorphic maps in banach spaces. Banach manifolds. Symmetric banach manifolds -- Jordan and Lie algebraic structures. Jordan algebras. Jordan triple systems. Lie algebras and Tits-Kantor-Koecher construction. Jordan and Lie structures in banach spaces. Cartan factors -- Bounded symmetric domains. Algebraic structures of symmetric manifolds. Realisation of bounded symmetric domains. Rank of a bounded symmetric domain. Boundary structures. Invariant metrics, Schwarz Lemma and dynamics. Siegel domains. Holomorphic homogeneous regular domains. Classification -- Function theory. The class S. Bloch constant and bloch maps. Banach spaces of bloch functions. Composition operators.

The Geometry Of Arithmetic Quotients Of Bounded Symmetric Domains

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Author : Bruce Hunt
language : de
Publisher:
Release Date : 1994

The Geometry Of Arithmetic Quotients Of Bounded Symmetric Domains written by Bruce Hunt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

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.

Compressions Of Infinite Dimensional Bounded Symmetric Domains

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Author : Karl-Hermann Neeb
language : en
Publisher:
Release Date : 2000

Compressions Of Infinite Dimensional Bounded Symmetric Domains written by Karl-Hermann Neeb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Subnormal Tuples On Strictly Pseudoconvex And Bounded Symmetric Domains

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Author : Michael Didas
language : en
Publisher:
Release Date : 2012

Subnormal Tuples On Strictly Pseudoconvex And Bounded Symmetric Domains written by Michael Didas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

Exceptional Lie Algebras And The Structure Of Hermitian Symmetric Spaces

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Author : Daniel Drucker
language : en
Publisher: American Mathematical Soc.
Release Date : 1978

Exceptional Lie Algebras And The Structure Of Hermitian Symmetric Spaces written by Daniel Drucker 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 1978 with Exceptional Lie algebras categories.

This monograph explicitly determines the "orbit structure" of all irreducible hermitian symmetric (IHS) spaces in a unified way by means of Lie algebra calculations, using J. Tits' models of the Lie algebras [script]e6 and [script]e7 in the two "exceptional" cases. An introduction to the theory of hermitian symmetric spaces is included, along with an elementary exposition of the facts from nonassociative algebra needed to understand and use Tits' constructions of all the complex exceptional simple Lie algebras and their real forms

Homogeneous Bounded Domains And Siegel Domains

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Author : S. Kaneyuki
language : en
Publisher: Springer
Release Date : 2006-11-15

Homogeneous Bounded Domains And Siegel Domains written by S. Kaneyuki 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.

Quantum Bounded Symmetric Domains

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Author : Leonid Lʹvovych Vaksman
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Quantum Bounded Symmetric Domains written by Leonid Lʹvovych Vaksman 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 2010 with Mathematics categories.

Explores the basic theory of quantum bounded symmetric domains. The area became active in the late 1990s at a junction of noncommutative complex analysis and extensively developing theory of quantum groups. In a surprising advance of the theory of quantum bounded symmetric domains, it turned out that many classical problems admit elegant quantum analogs. Some of those are expounded in the book.

Theory Of Complex Homogeneous Bounded Domains

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Author : Yichao Xu
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-31

Theory Of Complex Homogeneous Bounded Domains written by Yichao Xu 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 2007-12-31 with Mathematics categories.

This book is the first to systematically explore the classification and function theory of complex homogeneous bounded domains. The Siegel domains are discussed in detail, and proofs are presented. Using the normal Siegel domains to realize the homogeneous bounded domains, we can obtain more property of the geometry and the function theory on homogeneous bounded domains.