Abstract
We study various Banach space properties of the dual spaceE of a homo- geneous 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 by a compactness condition on E. Whenever it exists, the predual of E is shown to have the Kadec{Klee property if and only if E is atomic with no innite spin part.
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