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Unconditional almost squareness and applications to spaces of Lipschitz functions

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arxiv 1605.04699 v2 pith:BP4MOXGA submitted 2016-05-16 math.FA

Unconditional almost squareness and applications to spaces of Lipschitz functions

classification math.FA
keywords almostfunctionslipschitzsomesquarenessunconditionaladvantageanswer
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We introduce an unconditional concept of almost squareness in order to provide a partial negative answer to the problem of existence of any dual almost square Banach space. We also take advantage of this notion to provide some criterion of non-duality of some subspaces of scalar as well as vector valued Lipschitz functions.

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