Some applications of projective resolutions of identity. (English) Zbl 0798.46008

Summary: We show that the unit ball \(K\) of the bidual of an Asplund space is a Corson compact or contains \([0,\omega_ 1]\), and that it has the Namioka property on separate-to-joint continuity. The same results are shown for \(K\) a Valdivia compact; a by-product is that all dyadic compacts have the Namioka property. Some connections with weakly compactly generated dual spaces and renormings are given.


46B20 Geometry and structure of normed linear spaces
46B03 Isomorphic theory (including renorming) of Banach spaces
54D30 Compactness
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