1# Library to Find Best eBook for Read
Author : J. Diestel
Release : 1984-02-28
Genre :
Kind : eBook
Book Rating : 016/5 ( reviews)
Book Synopsis Sequences and Series in Banach Spaces by : J. Diestel
Download or read book Sequences and Series in Banach Spaces written by J. Diestel. This book was released on 1984-02-28. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Diestel
Release : 1984
Genre : Banach spaces
Kind : eBook
Book Rating : 223/5 ( reviews)
Book Synopsis Sequences and Series in Banach Spaces by : Joseph Diestel
Download or read book Sequences and Series in Banach Spaces written by Joseph Diestel. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Diestel
Release : 1984-01
Genre : Banach spaces
Kind : eBook
Book Rating : 593/5 ( reviews)
Book Synopsis Sequences and Series in Banach Spaces by : Joseph Diestel
Download or read book Sequences and Series in Banach Spaces written by Joseph Diestel. This book was released on 1984-01. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Kadets
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 962/5 ( reviews)
Book Synopsis Series in Banach Spaces by : Vladimir Kadets
Download or read book Series in Banach Spaces written by Vladimir Kadets. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Series of scalars, vectors, or functions are among the fundamental objects of mathematical analysis. When the arrangement of the terms is fixed, investigating a series amounts to investigating the sequence of its partial sums. In this case the theory of series is a part of the theory of sequences, which deals with their convergence, asymptotic behavior, etc. The specific character of the theory of series manifests itself when one considers rearrangements (permutations) of the terms of a series, which brings combinatorial considerations into the problems studied. The phenomenon that a numerical series can change its sum when the order of its terms is changed is one of the most impressive facts encountered in a university analysis course. The present book is devoted precisely to this aspect of the theory of series whose terms are elements of Banach (as well as other topological linear) spaces. The exposition focuses on two complementary problems. The first is to char acterize those series in a given space that remain convergent (and have the same sum) for any rearrangement of their terms; such series are usually called uncon ditionally convergent. The second problem is, when a series converges only for certain rearrangements of its terms (in other words, converges conditionally), to describe its sum range, i.e., the set of sums of all its convergent rearrangements.
Author : J. Diestel
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 008/5 ( reviews)
Book Synopsis Sequences and Series in Banach Spaces by : J. Diestel
Download or read book Sequences and Series in Banach Spaces written by J. Diestel. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents answers to some natural questions of a general analytic character that arise in the theory of Banach spaces. I believe that altogether too many of the results presented herein are unknown to the active abstract analysts, and this is not as it should be. Banach space theory has much to offer the prac titioners of analysis; unfortunately, some of the general principles that motivate the theory and make accessible many of its stunning achievements are couched in the technical jargon of the area, thereby making it unapproachable to one unwilling to spend considerable time and effort in deciphering the jargon. With this in mind, I have concentrated on presenting what I believe are basic phenomena in Banach spaces that any analyst can appreciate, enjoy, and perhaps even use. The topics covered have at least one serious omission: the beautiful and powerful theory of type and cotype. To be quite frank, I could not say what I wanted to say about this subject without increasing the length of the text by at least 75 percent. Even then, the words would not have done as much good as the advice to seek out the rich Seminaire Maurey-Schwartz lecture notes, wherein the theory's development can be traced from its conception. Again, the treasured volumes of Lindenstrauss and Tzafriri also present much of the theory of type and cotype and are must reading for those really interested in Banach space theory.
