Bounded Symmetric Domains In Banach Spaces

Download or read book Bounded Symmetric Domains In Banach Spaces written by Cho-ho Chu and published by World Scientific. This book was released on 2020-09-10 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces written by Simeon Reich and published by Imperial College Press. This book was released on 2005 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Contents: Mappings in Metric and Normed Spaces; Differentiable and Holomorphic Mappings in Banach Spaces; Hyperbolic Metrics on Domains in Complex Banach Spaces; Some Fixed Point Principles; The DenjoyOCoWolff Fixed Point Theory; Generation Theory for One-Parameter Semigroups; Flow-Invariance Conditions; Stationary Points of Continuous Semigroups; Asymptotic Behavior of Continuous Flows; Geometry of Domains in Banach Spaces."

Download or read book Finite or Infinite Dimensional Complex Analysis written by Joji Kajiwara and published by CRC Press. This book was released on 2019-05-07 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics written by Harald Upmeier and published by American Mathematical Soc.. This book was released on 1987 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jordan algebras have found interesting applications in seemingly unrelated areas of mathematics such as operator theory, the foundations of quantum mechanics, complex analysis in finite and infinite dimensions, and harmonic analysis on homogeneous spaces. This book describes some relevant results and puts them in a general framework.

Download or read book Holomorphic Automorphism Groups in Banach Spaces written by J.M. Isidro and published by Elsevier. This book was released on 2011-08-18 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Holomorphic Automorphism Groups in Banach Spaces

Download or read book Symmetric Banach Manifolds and Jordan C*-Algebras written by H. Upmeier and published by Elsevier. This book was released on 2011-08-18 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Multivariable Operator Theory written by Ernst Albrecht and published by Springer Nature. This book was released on 2024-01-22 with total page 893 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.