[PDF.64cu] The Isometric Theory of Classical Banach Spaces (Grundlehren der mathematischen Wissenschaften)

The Isometric Theory of Classical Banach Spaces (Grundlehren der mathematischen Wissenschaften)

[PDF.ze43] The Isometric Theory of Classical Banach Spaces (Grundlehren der mathematischen Wissenschaften)

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 | #12349089 in Books |  Springer |  1974-01-01 | Original language:English | PDF # 1 |  9.25 x.65 x6.10l,.90 | File type: PDF | 272 pages

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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 < p < 00, then it is well known that X=L (j1,IR) where 1/p+1/q=1 and i...

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