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On weak sequential convergence in JB*-triple duals
2004
Studia Mathematica
We study various Banach space properties of the dual space E * of a homogeneous Banach space (alias, a JB * -triple) E. For example, if all primitive M -ideals of E are maximal, we show that E * has the Alternative Dunford-Pettis property (respectively, the Kadec-Klee property) if and only if all biholomorphic automorphisms of the open unit ball of E are sequentially weakly continuous (respectively, weakly continuous). Those E for which E * has the weak * Kadec-Klee property are characterised
doi:10.4064/sm160-2-2
fatcat:s226ehl5tje3ldqeslo6wfg3gi