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Almost squareness and strong diameter two property in tensor product spaces

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arxiv 1809.06048 v1 pith:VMB6R567 submitted 2018-09-17 math.FA

Abraham Rueda Zoca This is my paper · ORCID
classification math.FA
keywords producttensordiameterprojectivepropertystrongalmostspaces
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We study almost squareness and the strong diameter two property in the setting of projective (symmetric) tensor product. We prove that almost squareness is preserved by taking projective tensor product, providing non-trivial examples of ASQ projective tensor product spaces. Furthermore, we give sufficient conditions for a projective symmetric tensor product to have the strong diameter two property which extend most of the known results and provide new examples of such spaces with the strong diameter two property.

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