Diameter Preserving Linear Bijections and [C.Sub.0](L) Spaces (Report)
Bulletin of the Belgian Mathematical Society - Simon Stevin 2010, May, 17, 2
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Publisher 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: