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Diameter Preserving Linear Bijections and [C.Sub.0](L) Spaces (Report)

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eBook details

  • Title: Diameter Preserving Linear Bijections and [C.Sub.0](L) Spaces (Report)
  • Author : A. Rambla, F. Aizpuru
  • Release Date : January 01, 2010
  • Genre: Mathematics,Books,Science & Nature,
  • Pages : * pages
  • Size : 73 KB

Description

1 Background and notation The Banach-Stone theorem has been thoroughly studied and generalized to different settings in the last decades. A very instructive and readable starting point is the classic monograph by E. Behrends ([3]). The general question is when, given two compact Hausdorff spaces X, Y and two Banach spaces V, Z, the existence of a surjective linear isometry T from C (X, V) onto C(Y, Z) implies any of the following:


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