Lattice Structures On Banach Spaces

Author : Nigel John Kalton
Publisher : American Mathematical Soc.
Page : 92 pages
File Size : 46,6 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821825570

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Lattice Structures on Banach Spaces by Nigel John Kalton Pdf

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. A typical result is the following: If $X$ is a rearrangement-invariant space on $[0,1]$ not equal to $L_2$, and if $Y$ is an order-continuous Banach lattice which has a complemented subspace isomorphic as a Banach space to $X$, then $Y$ has a complemented sublattice which is isomorphic to $X$ (with one of two possible lattice structures). New examples are also given of spaces with a unique lattice structure.

Author : Nigel John Kalton
Publisher : Oxford University Press, USA
Page : 105 pages
File Size : 51,6 Mb
Release : 2014-08-31
Category : MATHEMATICS
ISBN : 1470400707

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Lattice Structures on Banach Spaces by Nigel John Kalton Pdf

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 : William B. Johnson,Joram Lindenstrauss
Publisher : Elsevier
Page : 880 pages
File Size : 51,7 Mb
Release : 2001
Category : Banach spaces
ISBN : 0444513051

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Handbook of the Geometry of Banach Spaces by William B. Johnson,Joram Lindenstrauss Pdf

The Handbook presents an overview of most aspects of modern Banach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banach space theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.

Author : William B. Johnson,Bernard Maurey,Gideon Schechtman,Lior Tzafriri
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 43,5 Mb
Release : 1979
Category : Mathematics
ISBN : 9780821822173

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Symmetric Structures in Banach Spaces by William B. Johnson,Bernard Maurey,Gideon Schechtman,Lior Tzafriri Pdf

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 : Bor-Luh Lin,William B. Johnson
Publisher : American Mathematical Soc.
Page : 224 pages
File Size : 43,7 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821851579

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Banach Spaces by Bor-Luh Lin,William B. Johnson Pdf

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.

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 639 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401512794

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Encyclopaedia of Mathematics by Michiel Hazewinkel Pdf

This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Author : Nigel J. Kalton,Emiel Lorist,Lutz Weis
Publisher : American Mathematical Society
Page : 168 pages
File Size : 45,6 Mb
Release : 2023-09-15
Category : Mathematics
ISBN : 9781470467036

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Euclidean Structures and Operator Theory in Banach Spaces by Nigel J. Kalton,Emiel Lorist,Lutz Weis Pdf

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Author : Anna Kamińska
Publisher : American Mathematical Soc.
Page : 386 pages
File Size : 42,9 Mb
Release : 2003
Category : Mathematics
ISBN : 9780821832349

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Trends in Banach Spaces and Operator Theory by Anna Kamińska Pdf

This volume contains proceedings of the conference on Trends in Banach Spaces and Operator Theory, which was devoted to recent advances in theories of Banach spaces and linear operators. Included in the volume are 25 papers, some of which are expository, while others present new results. The articles address the following topics: history of the famous James' theorem on reflexivity, projective tensor products, construction of noncommutative $L p$-spaces via interpolation, Banach spaces with abundance of nontrivial operators, Banach spaces with small spaces of operators, convex geometry of Coxeter-invariant polyhedra, uniqueness of unconditional bases in quasi-Banach spaces, dynamics of cohyponormal operators, and Fourier algebras for locally compact groupoids. The book is suitable for graduate students and research mathematicians interested in Banach spaces and operator theory and their applications.

Author : Edward E., Jr. Odell,Haskell P. Rosenthal
Publisher : Springer
Page : 211 pages
File Size : 53,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540474937

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Functional Analysis by Edward E., Jr. Odell,Haskell P. Rosenthal Pdf

The papers in this volume yield a variety of powerful tools for penetrating the structure of Banach spaces, including the following topics: the structure of Baire-class one functions with Banach space applications, operator extension problems, the structure of Banach lattices tensor products of operators and Banach spaces, Banach spaces of certain classes of Fourier series, uniformly stable Banach spaces, the hyperplane conjecture for convex bodies, and applications of probability theory to local Banach space structure. With contributions by: R. Haydon, E. Odell, H. Rosenthal: On certain classes of Baire-1 functions with applications to Banach space theory.- K. Ball: Normed spaces with a weak-Gordon-Lewis property.- S.J. Szarek: On the geometry of the Banach-Mazur compactum.- P. Wojtaszczyk: Some remarks about the space of measures with uniformly bounded partial sums and Banach-Mazur distances between some spaces of polynomials.- N. Ghoussoub, W.B. Johnson: Operators which factor through Banach lattices not containing co.- W.B. Johnson, G. Schechtman: Remarks on Talagrand's deviation inequality for Rademacher functions.- M. Zippin: A Global Approach to Certain Operator Extension Problems.- H. Knaust, E. Odell: Weakly null sequences with upper lp-estimates.- H. Rosenthal, S.J. Szarek: On tensor products of operators from Lp to Lq.- T. Schlumprecht: Limited Sets in Injective Tensor Products.- F. Räbiger: Lower and upper 2-estimates for order bounded sequences and Dunford-Pettis operators between certain classes of Banach lattices.- D.H. Leung: Embedding l1 into Tensor Products of Banach Spaces.- P. Hitczenko: A remark on the paper "Martingale inequalities in rearrangement invariant function spaces" by W.B. Johnson, G. Schechtman.- F. Chaatit: Twisted types and uniform stability.

Author : Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky
Publisher : Birkhäuser
Page : 771 pages
File Size : 49,8 Mb
Release : 2016-07-05
Category : Mathematics
ISBN : 9783319187969

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Nigel J. Kalton Selecta by Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky Pdf

This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory, and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.

Author : J. Baker,C. Cleaver,J. Diestel
Publisher : Springer
Page : 150 pages
File Size : 49,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540372622

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Banach Spaces of Analytic Functions. by J. Baker,C. Cleaver,J. Diestel Pdf

With contributions by numerous experts

Author : Karl Gustafson,Karl E. Gustafson
Publisher : World Scientific
Page : 259 pages
File Size : 42,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814366281

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Antieigenvalue Analysis by Karl Gustafson,Karl E. Gustafson Pdf

Karl Gustafson is the creater of the theory of antieigenvalue analysis. Its applications spread through fields as diverse as numerical analysis, wavelets, statistics, quantum mechanics, and finance. Antieigenvalue analysis, with its operator trigonometry, is a unifying language which enables new and deeper geometrical understanding of essentially every result in operator theory and matrix theory, together with their applications. This book will open up its methods to a wide range of specialists.

Author : Genaro López Acedo,Rafael Villa Caro
Publisher : Universidad de Sevilla
Page : 322 pages
File Size : 43,5 Mb
Release : 2004
Category : Mathematical analysis
ISBN : 8447208575

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Seminar of Mathematical Analysis by Genaro López Acedo,Rafael Villa Caro Pdf

This volume consists of the lecture notes of the Seminar on Mathematical Analysis which was held at the Universities of Malaga and Seville, Septembre 2002-February 2003.

Author : Anonim
Publisher : Elsevier
Page : 1017 pages
File Size : 45,8 Mb
Release : 2001-08-15
Category : Mathematics
ISBN : 9780080532806

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Handbook of the Geometry of Banach Spaces by Anonim Pdf

The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.

Author : Gilles Pisier,Conference Board of the Mathematical Sciences
Publisher : American Mathematical Soc.
Page : 170 pages
File Size : 49,7 Mb
Release : 1986*
Category : Mathematics
ISBN : 0821889052

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Factorization of Linear Operators and Geometry of Banach Spaces by Gilles Pisier,Conference Board of the Mathematical Sciences Pdf