The Isometric Theory of Classical Banach Spaces

The Isometric Theory of Classical Banach Spaces
Author :
Publisher : Springer Science & Business Media
Total Pages : 281
Release :
ISBN-10 : 9783642657627
ISBN-13 : 3642657621
Rating : 4/5 (621 Downloads)

Book Synopsis The Isometric Theory of Classical Banach Spaces by : H.E. Lacey

Download or read book The Isometric Theory of Classical Banach Spaces written by H.E. Lacey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present the main structure theorems in the isometric theory of classical Banach spaces. Elements of general topology, measure theory, and Banach spaces are assumed to be familiar to the reader. A classical Banach space is a Banach space X whose dual space is linearly isometric to Lp(j1, IR) (or Lp(j1, CC) in the complex case) for some measure j1 and some 1 ~ p ~ 00. If 1


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The appearance of Banach's book [8] in 1932 signified the beginning of a syste matic study of normed linear spaces, which have been the subject of continuous re