Classical Banach Spaces I And Ii

Author : Joram Lindenstrauss,Lior Tzafriri
Publisher : Boom Koninklijke Uitgevers
Page : 484 pages
File Size : 40,5 Mb
Release : 1996
Category : Mathematics
ISBN : 3540606289

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Classical Banach Spaces I and II by Joram Lindenstrauss,Lior Tzafriri Pdf

Springer-Verlag began publishing books in higher mathematics in 1920, when the seriesGrundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later a new series Ergebnisse der Mathematik und ihrer Grenzgebiete, survey reports of recent mathematical research, was added. Of over 400 books published in these series, many have become recognized classics and remain standard references for their subject. Springer is reissuing a selected few of these highly successful books in a new, inexpensive sofcover edition to make them easily accessible to younger generations of students and researchers. Classical Banach Spaces I and II From the reviews: “...the book is written in the best tradition of the beautiful series in which it appears. The material it presents is hard to find in other books. For people working in the structure theory of Banach spaces it will be most valuable as a source of references and inspiration. For those who wish to learn the subject the book deserves a warm welcome too.” Medelingen van het Wiskundig Genootschap “...The geometry of Banach lattices is a rich, beautiful, ... and rewarding subject. The proof is in the reading and perusing of the masterpiece.” Zentrablatt für Mathematik

Author : J. Lindenstrauss,L. Tzafriri
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 45,5 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9783662353479

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Classical Banach Spaces II by J. Lindenstrauss,L. Tzafriri Pdf

Author : J. Lindenstrauss,L. Tzafriri
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 45,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783642665578

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Classical Banach Spaces I by J. Lindenstrauss,L. Tzafriri Pdf

The appearance of Banach's book [8] in 1932 signified the beginning of a syste matic study of normed linear spaces, which have been the subject of continuous research ever since. In the sixties, and especially in the last decade, the research activity in this area grew considerably. As a result, Ban:ach space theory gained very much in depth as well as in scope: Most of its well known classical problems were solved, many interesting new directions were developed, and deep connections between Banach space theory and other areas of mathematics were established. The purpose of this book is to present the main results and current research directions in the geometry of Banach spaces, with an emphasis on the study of the structure of the classical Banach spaces, that is C(K) and Lip.) and related spaces. We did not attempt to write a comprehensive survey of Banach space theory, or even only of the theory of classical Banach spaces, since the amount of interesting results on the subject makes such a survey practically impossible.

Author : J. Lindenstrauss,L. Tzafriri
Publisher : Unknown
Page : 260 pages
File Size : 40,8 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662353482

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Classical Banach Spaces II by J. Lindenstrauss,L. Tzafriri Pdf

Author : Joram Lindenstrauss
Publisher : Unknown
Page : 0 pages
File Size : 40,9 Mb
Release : 1978
Category : Electronic
ISBN : OCLC:1427547106

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Classical Banach Spaces. II by Joram Lindenstrauss Pdf

Author : J. Lindenstrauss,L. Tzafriri
Publisher : Unknown
Page : 208 pages
File Size : 47,5 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662302276

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Classical Banach Spaces by J. Lindenstrauss,L. Tzafriri Pdf

Author : H.E. Lacey
Publisher : Springer Science & Business Media
Page : 281 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642657627

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The Isometric Theory of Classical Banach Spaces by H.E. Lacey Pdf

The purpose of this book is to present the main structure theorems in the isometric theory of classical Banach spaces. Elements of general topology, measure theory, and Banach spaces are assumed to be familiar to the reader. A classical Banach space is a Banach space X whose dual space is linearly isometric to Lp(j1, IR) (or Lp(j1, CC) in the complex case) for some measure j1 and some 1 ~ p ~ 00. If 1

Author : Joram Lindenstrauss,Lior Tzafriri
Publisher : Unknown
Page : 362 pages
File Size : 48,8 Mb
Release : 1978
Category : Banach spaces
ISBN : OCLC:39122456

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Classical Banach Spaces by Joram Lindenstrauss,Lior Tzafriri Pdf

Author : Joram Lindenstrauss,Lior Tzafriri
Publisher : Springer
Page : 264 pages
File Size : 43,6 Mb
Release : 1977
Category : Mathematics
ISBN : 3540088881

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Classical Banach Spaces by Joram Lindenstrauss,Lior Tzafriri Pdf

Author : N. L. Carothers
Publisher : Cambridge University Press
Page : 206 pages
File Size : 42,8 Mb
Release : 2005
Category : Mathematics
ISBN : 0521603722

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A Short Course on Banach Space Theory by N. L. Carothers Pdf

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Author : J Lindenstrauss
Publisher : Unknown
Page : 0 pages
File Size : 55,7 Mb
Release : 2008
Category : Electronic
ISBN : OCLC:1316452600

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Classical Banach Spaces by J Lindenstrauss Pdf

Author : Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis
Publisher : Springer
Page : 616 pages
File Size : 43,5 Mb
Release : 2018-02-14
Category : Mathematics
ISBN : 9783319698083

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Analysis in Banach Spaces by Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis Pdf

This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.

Author : Sylvia Guerre-Delabriere
Publisher : CRC Press
Page : 234 pages
File Size : 55,5 Mb
Release : 1992-07-21
Category : Mathematics
ISBN : 0824787234

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Classical Sequences in Banach SPates by Sylvia Guerre-Delabriere Pdf

Author : Joram Lindenstrauss
Publisher : Unknown
Page : 253 pages
File Size : 46,6 Mb
Release : 1979
Category : Electronic
ISBN : OCLC:928816914

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Classical Banach Spaces by Joram Lindenstrauss Pdf

Author : Fernando Albiac,Nigel J. Kalton
Publisher : Springer
Page : 508 pages
File Size : 45,6 Mb
Release : 2016-07-19
Category : Mathematics
ISBN : 9783319315577

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Topics in Banach Space Theory by Fernando Albiac,Nigel J. Kalton Pdf

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