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Boundaries and polyhedral Banach spaces
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classification
math.FA
keywords
polyhedralbanachseparablespacesboundariesboundaryboundedcontains
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abstract
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.
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