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

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Author: J. Lindenstrauss
Publisher:
ISBN: 9783662353486
Category :
Languages : en
Pages : 260

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Author: Joram Lindenstrauss
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 362

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Author: J. Lindenstrauss
Publisher: Springer Science & Business Media
ISBN: 3642665578
Category : Mathematics
Languages : en
Pages : 202

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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.

Author: Joram Lindenstrauss
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Author: Joram Lindenstrauss
Publisher: Boom Koninklijke Uitgevers
ISBN: 9783540606284
Category : Mathematics
Languages : en
Pages : 484

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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

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

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Author: Tuomas Hytönen
Publisher: Springer
ISBN: 3319698087
Category : Mathematics
Languages : en
Pages : 630

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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.

Author: J Lindenstrauss
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Author: A. Beck
Publisher: Springer
ISBN: 3540353410
Category : Mathematics
Languages : en
Pages : 208

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