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Abstract

We study linear bijections of simplex spacesA(S) which preserve the diameter of the range, that is, the seminorm ϱ(f)=sup{|f(x)−f(y)|:x,yεS}.

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Correspondence to Félix Cabello Sánchez.

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Sánchez, F.C. Diameter preserving linear maps and isometries, II. Proc. Indian Acad. Sci. (Math. Sci.) 110, 205–211 (2000). https://doi.org/10.1007/BF02829491

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  • DOI: https://doi.org/10.1007/BF02829491

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