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Total subspaces with long chains of nowhere norming weak*-sequential closures


Abstract


If a separable Banach space X is such that for some nonquasireflexive Banach space Y there exists a surjective stricty singular operator T : X 'to Y then for every countable ordinal 'alpha the dual of X contains a subspace whose weak* sequential closures of orders less than 'alpha are nowhere norming and whose weak* sequential closure of order 'alpha+1 coincides with X<sup>*</sup> .

DOI Code: 10.1285/i15900932v13n2p217

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