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Classical Banach Spaces

Classical Banach Spaces PDF Author: Joram Lindenstrauss
Publisher: Springer
ISBN: 3540377328
Category : Mathematics
Languages : en
Pages : 254

Book Description
Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren 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

Classical Banach Spaces PDF Author: Joram Lindenstrauss
Publisher: Springer
ISBN: 3540377328
Category : Mathematics
Languages : en
Pages : 254

Book Description
Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren 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

Classical Banach Spaces I PDF Author: J. Lindenstrauss
Publisher: Springer Science & Business Media
ISBN: 3642665578
Category : Mathematics
Languages : en
Pages : 202

Book Description
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 PDF Author: J. Lindenstrauss
Publisher: Springer Science & Business Media
ISBN: 3662353474
Category : Mathematics
Languages : en
Pages : 253

Book Description


Classical Banach Spaces I and II

Classical Banach Spaces I and II PDF Author: Joram Lindenstrauss
Publisher: Springer
ISBN: 3662532948
Category : Mathematics
Languages : en
Pages : 454

Book Description
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

Classical Banach Spaces I and II

Classical Banach Spaces I and II PDF Author: Joram Lindenstrauss
Publisher: Boom Koninklijke Uitgevers
ISBN: 9783540606284
Category : Mathematics
Languages : en
Pages : 484

Book Description
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

Classical Banach Spaces II

Classical Banach Spaces II PDF Author: J. Lindenstrauss
Publisher:
ISBN: 9783662353486
Category :
Languages : en
Pages : 260

Book Description


Classical Banach Spaces. II

Classical Banach Spaces. II PDF Author: Joram Lindenstrauss
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description


Classical Banach Spaces

Classical Banach Spaces PDF Author: J. Lindenstrauss
Publisher:
ISBN: 9783662302279
Category :
Languages : en
Pages : 208

Book Description


Probability in Banach Spaces

Probability in Banach Spaces PDF Author: Michel Ledoux
Publisher: Springer Science & Business Media
ISBN: 3642202128
Category : Mathematics
Languages : en
Pages : 493

Book Description
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 PDF Author: N. L. Carothers
Publisher: Cambridge University Press
ISBN: 9780521603720
Category : Mathematics
Languages : en
Pages : 206

Book Description
Publisher Description