Symmetric Structures in Banach Spaces PDF Download
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Author: William B. Johnson
Publisher: American Mathematical Soc.
ISBN: 0821822179
Category : Mathematics
Languages : en
Pages : 306
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Book Description
In this paper detailed investigations of spaces with a symmetric basis of finite length and rearrangement invariant function spaces are presented. The emphasis is on questions arising naturally from the theory of [italic]L[italic subscript]p-spaces.
Author: William B. Johnson
Publisher: American Mathematical Soc.
ISBN: 0821822179
Category : Mathematics
Languages : en
Pages : 306
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Book Description
In this paper detailed investigations of spaces with a symmetric basis of finite length and rearrangement invariant function spaces are presented. The emphasis is on questions arising naturally from the theory of [italic]L[italic subscript]p-spaces.
Author: W. T. Gowers
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Cho-Ho Chu
Publisher: World Scientific Publishing Company
ISBN: 9789811214103
Category : Banach spaces
Languages : en
Pages : 404
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Book Description
"The latest book which discusses recent advances in geometric analysis on bound symmetric domains of both finite and infinite dimensions. A unique feature is the use of Jordan theory in tandem with Lie theory to treat geometric and analytic topics such as rank and boundary structures, dynamics, Siegel domains and symmetric cones, classification, as well as function theory It contains a chapter on Jordan and Lie structures in Banach spaces, which are used to present a self-contained proof of a Riemann mapping theorem asserting that every bounded symmetric domain can be realized as the open unit ball of a complex Banach space with a Jordan structure"--
Author: Nigel John Kalton
Publisher: American Mathematical Soc.
ISBN: 0821825577
Category : Mathematics
Languages : en
Pages : 105
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Book Description
The general problem addressed in this work is to characterize the possible Banach lattice structures that a separable Banach space may have. The basic questions of uniqueness of lattice structure for function spaces have been studied before, but here the approach uses random measure representations for operators in a new way to obtain more powerful conclusions.
Author:
Publisher: Elsevier
ISBN: 0080533507
Category : Mathematics
Languages : en
Pages : 873
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Book Description
Handbook of the Geometry of Banach Spaces
Author: ibrahim hossney" "ibrahim
Publisher:
ISBN:
Category :
Languages : ar
Pages :
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Book Description
Author: H. Upmeier
Publisher: Elsevier
ISBN: 0080872158
Category : Mathematics
Languages : en
Pages : 457
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Book Description
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.
Author: Fernando Albiac
Publisher: Springer
ISBN: 3319315579
Category : Mathematics
Languages : en
Pages : 512
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Book Description
This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces. This new material is intended to present these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them. This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. From the reviews of the First Edition: "The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book..."—Gilles Godefroy, Mathematical Reviews
Author: Nigel J. Kalton
Publisher: Springer
ISBN: 3540397361
Category : Mathematics
Languages : en
Pages : 205
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Book Description
Author: Bor-Luh Lin
Publisher: American Mathematical Soc.
ISBN: 0821851578
Category : Mathematics
Languages : en
Pages : 224
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Book Description
This volume contains the proceedings of the International Workshop on Banach Space Theory, held at the Universidad de Los Andes in Merida, Venezuela in January 1992. These refereed papers contain the newest results in Banach space theory, real or complex function spaces, and nonlinear functional analysis. There are several excellent survey papers, including ones on homogeneous Banach spaces and applications of probability inequalities, in addition to an important research paper on the distortion problem. This volume is notable for the breadth of the mathematics presented.
