The Isometric Theory Of Classical Banach Spaces PDF Download
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Author | : H.E. Lacey |
Publisher | : Springer Science & Business Media |
Total Pages | : 281 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642657621 |
Download The Isometric Theory of Classical Banach Spaces Book in PDF, ePub and Kindle
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 | : H. Elton Lacey |
Publisher | : |
Total Pages | : 880 |
Release | : 1972 |
Genre | : Banach spaces |
ISBN | : |
Download The isometric theory of classical Banach spaces Book in PDF, ePub and Kindle
Author | : J. Lindenstrauss |
Publisher | : Springer Science & Business Media |
Total Pages | : 202 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 3642665578 |
Download Classical Banach Spaces I Book in PDF, ePub and Kindle
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 |
Publisher | : Springer Science & Business Media |
Total Pages | : 253 |
Release | : 2013-12-11 |
Genre | : Mathematics |
ISBN | : 3662353474 |
Download Classical Banach Spaces II Book in PDF, ePub and Kindle
Author | : Joram Lindenstrauss |
Publisher | : Springer |
Total Pages | : 254 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540377328 |
Download Classical Banach Spaces Book in PDF, ePub and Kindle
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.
Author | : Joram Lindenstrauss |
Publisher | : Springer |
Total Pages | : 264 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : 9783540088882 |
Download Classical Banach Spaces Book in PDF, ePub and Kindle
Author | : |
Publisher | : Elsevier |
Total Pages | : 873 |
Release | : 2003-05-06 |
Genre | : Mathematics |
ISBN | : 0080533507 |
Download Handbook of the Geometry of Banach Spaces Book in PDF, ePub and Kindle
Handbook of the Geometry of Banach Spaces
Author | : Pandelis Dodos |
Publisher | : Springer |
Total Pages | : 180 |
Release | : 2010-04-15 |
Genre | : Mathematics |
ISBN | : 3642121535 |
Download Banach Spaces and Descriptive Set Theory: Selected Topics Book in PDF, ePub and Kindle
These notes are devoted to the study of some classical problems in the Geometry of Banach spaces. The novelty lies in the fact that their solution relies heavily on techniques coming from Descriptive Set Theory. Thecentralthemeisuniversalityproblems.Inparticular,thetextprovides an exposition of the methods developed recently in order to treat questions of the following type: (Q) LetC be a class of separable Banach spaces such that every space X in the classC has a certain property, say property (P). When can we ?nd a separable Banach space Y which has property (P) and contains an isomorphic copy of every member ofC? We will consider quite classical properties of Banach spaces, such as “- ing re?exive,” “having separable dual,” “not containing an isomorphic copy of c ,” “being non-universal,” etc. 0 It turns out that a positive answer to problem (Q), for any of the above mentioned properties, is possible if (and essentially only if) the classC is “simple.” The “simplicity” ofC is measured in set theoretic terms. Precisely, if the classC is analytic in a natural “coding” of separable Banach spaces, then we can indeed ?nd a separable space Y which is universal for the class C and satis?es the requirements imposed above.
Author | : H. Elton Lacey |
Publisher | : |
Total Pages | : 270 |
Release | : 1974 |
Genre | : |
ISBN | : |
Download The Isomemetric Theory of Classical Banach Spaces Book in PDF, ePub and Kindle
Author | : Sylvia Guerre-Delabriere |
Publisher | : CRC Press |
Total Pages | : 234 |
Release | : 1992-07-21 |
Genre | : Mathematics |
ISBN | : 9780824787233 |
Download Classical Sequences in Banach SPates Book in PDF, ePub and Kindle