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Acta Mathematica Vietnamica

CHARACTERIZATIONS OF BANACH SPACES VIA CONVEX AND OTHER LOCALLY LIPSCHITZ FUNCTIONS

J. BORWEIN, M. FABIAN, J. VANDERWERFF

Abstract

Various properties of Banach spaces, including the reflexivity and the Schur property of a space, are characterized in terms of properties of corresponding classes of locally Lipschitz functions on those spaces.