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arXiv · 1804.09968

Norming subspaces of Banach spaces

Vladimir P. Fonf·Sebastian Lajara·Stanimir Troyanski·Clemente Zanco
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Abstract

We show that, if $X$ is a closed subspace of a Banach space $E$ and $Z$ is a closed subspace of $E^*$ such that $Z$ is norming for $X$ and $X$ is total over $Z$ (as well as $X$ is norming for $Z$ and $Z$ is total over $X$), then $X$ and the pre-annihilator of $Z$ are complemented in $E$ whenever $Z$ is $w^*$-closed or $X$ is reflexive.

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BibTeXRIS

Vladimir P. Fonf, Sebastian Lajara, Stanimir Troyanski, Clemente Zanco. 2018-04-26. Norming subspaces of Banach spaces. https://arxiv.org/abs/1804.09968

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