Bases in Banach Spaces I (Paperback, Softcover reprint of the original 1st ed. 1970)

This monograph attempts to present the results known today on bases in Banach spaces and some unsolved problems concerning them. Although this important part of the theory of Banach spaces has been studied for more than forty years by numerous mathematicians, the existing books on functional analysis (e. g. M. M. Day [43], A. Wilansky [263], R. E. Edwards [54]) contain only a few results on bases. A survey of the theory of bases in Banach spaces, up to 1963, has been presented in the expository papers [241], [242] and [243], which contain no proofs; although in the meantime the theory has rapidly deve1oped, much of the present monograph is based on those expository papers. Independently, a useful bibliography of papers on bases, up to 1963, was compiled by B. L. Sanders [219J. Due to the vastness of the field, the monograph is divided into two volumes, ofwhich this is the first (see the tab1e of contents). Some results and problems re1ated to those treated herein have been de1iberately planned to be inc1uded in Volume 11, where they will appear in their natural framework (see [242], [243]).

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Grundlehren der mathematischen Wissenschaften, 154
Release date:	May 2012
First published:	1970
Authors:	Ivan Singer
Dimensions:	229 x 152 x 35mm (L x W x T)
Format:	Paperback
Pages:	668
Edition:	Softcover reprint of the original 1st ed. 1970
ISBN-13:	978-3-642-51635-1
Categories:	Books > Science & Mathematics > Mathematics > General
LSN:	3-642-51635-1
Barcode:	9783642516351

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