Acta Mathematica Vietnamica
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CHARACTERIZATIONS OF BANACH SPACES VIA CONVEX AND OTHER LOCALLY LIPSCHITZ FUNCTIONS
J. BORWEIN, M. FABIAN, J. VANDERWERFFpp. 53-69
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.