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Daugavet property and separability in Banach spaces

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arxiv 1611.09698 v1 pith:ACXRZJA2 submitted 2016-11-29 math.FA

Daugavet property and separability in Banach spaces

classification math.FA
keywords daugavetpropertybanachcharacterisationspacespacesanotherapplied
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We give a characterisation of the separable Banach spaces with the Daugavet property which is applied to study the Daugavet property in the projective tensor product of an $L$-embedded space with another non-zero Banach space. The former characterisation also motivates the introduction of two indices related to the Daugavet property and a short study of them.

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