Bases in Banach Spaces I

Bases in Banach Spaces I - Grundlehren Der Mathematischen Wissenschaften

Softcover reprint of the original 1st Edition 1970

Paperback (14 May 2012)

Save $55.38

  • RRP $120.84
  • $65.46
Add to basket

Includes delivery to the United States

10+ copies available online - Usually dispatched within 7 days

Publisher's Synopsis

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]).

Book information

ISBN: 9783642516351
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: Softcover reprint of the original 1st Edition 1970
Language: English
Number of pages: 668
Weight: 987g
Height: 229mm
Width: 152mm
Spine width: 35mm