Bounded Symmetric Domains In Banach Spaces

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Bounded Symmetric Domains In Banach Spaces

Author : Cho-ho Chu
Publisher : World Scientific
ISBN 13 : 9811214123
Total Pages : 406 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Bounded Symmetric Domains In Banach Spaces by : Cho-ho Chu

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.

An Introduction to Bounded Symmetric Domains

Author : Pauline Mellon
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to Bounded Symmetric Domains by : Pauline Mellon

Download or read book An Introduction to Bounded Symmetric Domains written by Pauline Mellon and published by . This book was released on 2000 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Holomorphic Automorphism Groups in Banach Spaces

Author : J.M. Isidro
Publisher : Elsevier
ISBN 13 : 0080872166
Total Pages : 305 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Holomorphic Automorphism Groups in Banach Spaces by : J.M. Isidro

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

Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces

Author : Simeon Reich
Publisher : Imperial College Press
ISBN 13 : 1860945759
Total Pages : 374 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces by : Simeon Reich

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 374 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.

Complex Dynamical Systems and the Geometry of Domains in Banach Spaces

Author : Mark Elin
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Complex Dynamical Systems and the Geometry of Domains in Banach Spaces by : Mark Elin

Download or read book Complex Dynamical Systems and the Geometry of Domains in Banach Spaces written by Mark Elin and published by . This book was released on 2004 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces

Author : Simeon Reich
Publisher : World Scientific
ISBN 13 : 1783260211
Total Pages : 372 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces by : Simeon Reich

Download or read book Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces written by Simeon Reich and published by World Scientific. This book was released on 2005-07-12 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./a

Jordan Triple Systems in Complex and Functional Analysis

Author : José M. Isidro
Publisher : American Mathematical Soc.
ISBN 13 : 1470450836
Total Pages : 560 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Jordan Triple Systems in Complex and Functional Analysis by : José M. Isidro

Download or read book Jordan Triple Systems in Complex and Functional Analysis written by José M. Isidro and published by American Mathematical Soc.. This book was released on 2019-12-09 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic account of the impressive developments in the theory of symmetric manifolds achieved over the past 50 years. It contains detailed and friendly, but rigorous, proofs of the key results in the theory. Milestones are the study of the group of holomomorphic automorphisms of bounded domains in a complex Banach space (Vigué and Upmeier in the late 1970s), Kaup's theorem on the equivalence of the categories of symmetric Banach manifolds and that of hermitian Jordan triple systems, and the culminating point in the process: the Riemann mapping theorem for complex Banach spaces (Kaup, 1982). This led to the introduction of wide classes of Banach spaces known as JB∗-triples and JBW∗-triples whose geometry has been thoroughly studied by several outstanding mathematicians in the late 1980s. The book presents a good example of fruitful interaction between different branches of mathematics, making it attractive for mathematicians interested in various fields such as algebra, differential geometry and, of course, complex and functional analysis.

Finite or Infinite Dimensional Complex Analysis

Author : Joji Kajiwara
Publisher : CRC Press
ISBN 13 : 0429530005
Total Pages : 674 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Finite or Infinite Dimensional Complex Analysis by : Joji Kajiwara

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.

Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics

Author : Harald Upmeier
Publisher : American Mathematical Soc.
ISBN 13 : 082180717X
Total Pages : 95 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics by : Harald Upmeier

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.

Symmetric Banach Manifolds and Jordan C*-Algebras

Author : H. Upmeier
Publisher : Elsevier
ISBN 13 : 0080872158
Total Pages : 457 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Symmetric Banach Manifolds and Jordan C*-Algebras by : H. Upmeier

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.

Multivariable Operator Theory

Author : Ernst Albrecht
Publisher : Springer Nature
ISBN 13 : 3031505352
Total Pages : 893 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Multivariable Operator Theory by : Ernst Albrecht

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.

Complex Analysis in Locally Convex Spaces

Author : S. Dineen
Publisher : Elsevier
ISBN 13 : 0080871682
Total Pages : 507 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Complex Analysis in Locally Convex Spaces by : S. Dineen

Download or read book Complex Analysis in Locally Convex Spaces written by S. Dineen and published by Elsevier. This book was released on 2011-08-18 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis in Locally Convex Spaces

Geometric Function Theory in Higher Dimension

Author : Filippo Bracci
Publisher : Springer
ISBN 13 : 3319731262
Total Pages : 185 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Geometric Function Theory in Higher Dimension by : Filippo Bracci

Download or read book Geometric Function Theory in Higher Dimension written by Filippo Bracci and published by Springer. This book was released on 2018-03-24 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.

M-Ideals in Banach Spaces and Banach Algebras

Author : Peter Harmand
Publisher : Springer
ISBN 13 : 3540477535
Total Pages : 390 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis M-Ideals in Banach Spaces and Banach Algebras by : Peter Harmand

Download or read book M-Ideals in Banach Spaces and Banach Algebras written by Peter Harmand and published by Springer. This book was released on 2006-11-15 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included.

Complex Analysis and Related Topics

Author : E. Ramirez de Arellano
Publisher : Birkhäuser
ISBN 13 : 3034886985
Total Pages : 282 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Complex Analysis and Related Topics by : E. Ramirez de Arellano

Download or read book Complex Analysis and Related Topics written by E. Ramirez de Arellano and published by Birkhäuser. This book was released on 2012-12-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, addressed to researchers and postgraduate students, compiles up-to-date research and expository papers on different aspects of complex analysis, including relations to operator theory and hypercomplex analysis. Subjects include the Schrödinger equation, subelliptic operators, Lie algebras and superalgebras, among others.

Advances in Real and Complex Analysis with Applications

Author : Michael Ruzhansky
Publisher : Birkhäuser
ISBN 13 : 981104337X
Total Pages : 304 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Advances in Real and Complex Analysis with Applications by : Michael Ruzhansky

Download or read book Advances in Real and Complex Analysis with Applications written by Michael Ruzhansky and published by Birkhäuser. This book was released on 2017-10-03 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics. It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis.

A Taste of Jordan Algebras

Author : Kevin McCrimmon
Publisher : Springer Science & Business Media
ISBN 13 : 0387217967
Total Pages : 584 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis A Taste of Jordan Algebras by : Kevin McCrimmon

Download or read book A Taste of Jordan Algebras written by Kevin McCrimmon and published by Springer Science & Business Media. This book was released on 2006-05-29 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the history of Jordan algebras and describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. Jordan algebras crop up in many surprising settings, and find application to a variety of mathematical areas. No knowledge is required beyond standard first-year graduate algebra courses.