Boundaries and polyhedral Banach spaces

Richard J Smith; Stanimir Troyanski; Vladimir P Fonf

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arxiv 1404.1185 v1 pith:KUNQJVML submitted 2014-04-04 math.FA

Boundaries and polyhedral Banach spaces

Vladimir P Fonf , Richard J Smith , Stanimir Troyanski This is my paper

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keywords polyhedralbanachseparablespacesboundariesboundaryboundedcontains

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We show that if $X$ and $Y$ are Banach spaces, where $Y$ is separable and polyhedral, and if $T:X \to Y$ is a bounded linear operator such that $T^*(Y^*)$ contains a boundary $B$ of $X$, then $X$ is separable and isomorphic to a polyhedral space. Some corollaries of this result are presented.

Boundaries and polyhedral Banach spaces

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