Bounded Symmetric Domains In Banach Spaces
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Bounded Symmetric Domains In Banach Spaces
Author | : Cho-ho Chu |
Publsiher | : World Scientific |
Total Pages | : 406 |
Release | : 2020-09-10 |
Genre | : Mathematics |
ISBN | : 9789811214127 |
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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.
An Introduction to Bounded Symmetric Domains
Author | : Pauline Mellon |
Publsiher | : Unknown |
Total Pages | : 38 |
Release | : 2000 |
Genre | : Functional analysis |
ISBN | : UOM:39015054181493 |
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Nonlinear Semigroups Fixed Points and Geometry of Domains in Banach Spaces
Author | : Simeon Reich,David Shoiykhet |
Publsiher | : Imperial College Press |
Total Pages | : 374 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9781860945755 |
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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.
Complex Dynamical Systems and the Geometry of Domains in Banach Spaces
Author | : Mark Elin,Simeon Reich,David Shoiykhet |
Publsiher | : Unknown |
Total Pages | : 70 |
Release | : 2004 |
Genre | : Banach spaces |
ISBN | : STANFORD:36105115149234 |
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Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces
Author | : Simeon Reich,David Shoikhet |
Publsiher | : World Scientific |
Total Pages | : 372 |
Release | : 2005-07-12 |
Genre | : Mathematics |
ISBN | : 9781783260218 |
Download Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces Book in PDF, Epub and Kindle
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./a
Holomorphic Automorphism Groups in Banach Spaces
Author | : J.M. Isidro,L.L. Stachó |
Publsiher | : Elsevier |
Total Pages | : 290 |
Release | : 2011-08-18 |
Genre | : Mathematics |
ISBN | : 0080872166 |
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Holomorphic Automorphism Groups in Banach Spaces
Finite or Infinite Dimensional Complex Analysis
Author | : Joji Kajiwara,Zhong Li,Kwang Ho Shon |
Publsiher | : CRC Press |
Total Pages | : 674 |
Release | : 2019-05-07 |
Genre | : Mathematics |
ISBN | : 9780429530005 |
Download Finite or Infinite Dimensional Complex Analysis Book in PDF, Epub and Kindle
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.
Quantum Bounded Symmetric Domains
Author | : Leonid Lʹvovych Vaksman |
Publsiher | : American Mathematical Soc. |
Total Pages | : 272 |
Release | : 2010 |
Genre | : Noncommutative algebras |
ISBN | : 9780821849095 |
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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.