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Diametral strong diameter two property of Banach spaces is stable under direct sums with 1-norm
Published 26 Mar 2016 in math.FA | (1603.08082v1)
Abstract: We prove that the diametral strong diameter 2 property of a Banach space (meaning that, in convex combinations of relatively weakly open subsets of its unit ball, every point has an "almost diametral" point) is stable under 1-sums, i.e., the direct sum of two spaces with the diametral strong diameter 2 property equipped with the 1-norm has again this property.
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