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Classical Banach Spaces II

Classical Banach Spaces II
Author: J. Lindenstrauss
Publisher: Springer Science & Business Media
Total Pages: 253
Release: 2013-12-11
Genre: Mathematics
ISBN: 3662353474

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Classical Banach Spaces II

Classical Banach Spaces II
Author: J. Lindenstrauss
Publisher:
Total Pages: 260
Release: 2014-09-01
Genre:
ISBN: 9783662353486

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Classical Banach Spaces

Classical Banach Spaces
Author: Joram Lindenstrauss
Publisher:
Total Pages: 362
Release: 1978
Genre: Banach spaces
ISBN:

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Classical Banach Spaces I

Classical Banach Spaces I
Author: J. Lindenstrauss
Publisher: Springer Science & Business Media
Total Pages: 202
Release: 2013-11-11
Genre: Mathematics
ISBN: 3642665578

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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.


Classical Banach Spaces. II

Classical Banach Spaces. II
Author: Joram Lindenstrauss
Publisher:
Total Pages: 0
Release: 1978
Genre:
ISBN:

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Classical Banach Spaces I and II

Classical Banach Spaces I and II
Author: Joram Lindenstrauss
Publisher: Boom Koninklijke Uitgevers
Total Pages: 484
Release: 1996
Genre: Mathematics
ISBN: 9783540606284

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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


Probability in Banach Spaces

Probability in Banach Spaces
Author: Michel Ledoux
Publisher: Springer Science & Business Media
Total Pages: 493
Release: 2013-03-09
Genre: Mathematics
ISBN: 3642202128

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Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.


A Short Course on Banach Space Theory

A Short Course on Banach Space Theory
Author: N. L. Carothers
Publisher: Cambridge University Press
Total Pages: 206
Release: 2005
Genre: Mathematics
ISBN: 9780521603720

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Analysis in Banach Spaces

Analysis in Banach Spaces
Author: Tuomas Hytönen
Publisher: Springer
Total Pages: 616
Release: 2018-02-14
Genre: Mathematics
ISBN: 3319698087

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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.


The Isometric Theory of Classical Banach Spaces

The Isometric Theory of Classical Banach Spaces
Author: H.E. Lacey
Publisher: Springer Science & Business Media
Total Pages: 281
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642657621

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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