| Bases in Banach Spaces I Softcover Repri Edition Contributor(s): Singer, Ivan (Author) |
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ISBN: 3642516351 ISBN-13: 9783642516351 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: May 2012 |
| Additional Information |
| BISAC Categories: - Mathematics |
| Dewey: 510 |
| Series: Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover) |
| Physical Information: 1.37" H x 6" W x 9" (1.98 lbs) 668 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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]). |