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Bases in Banach spaces I (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berucksichtigung der Anwendungsgebiete Band 154) free ebook download

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Author(s):	I. M. Singer

Date:	1970-07-01	Format:	djvu	Language:	English	ISBN/ASIN:	0387048332
Pages:		OCR:		Quality:		ISBN13:	9780387048338
Uploader:	tvladb77	Upload Date:	12/5/2020 11:38:47 PM

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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])

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Tags: Anwendungsgebiete Banach Band Bases Berucksichtigung besonderer Einzeldarstellungen Grundlehren mathematischen spaces

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Bases in Banach spaces I (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berucksichtigung der Anwendungsgebiete Band 154) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics