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arXiv · 1603.00741

Linear properties of Banach spaces and low distortion embeddings of metric graphs

Antonin Prochazka
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Abstract

We characterize non-reflexive Banach spaces by a low-distortion (resp. isometric) embeddability of a certain metric graph up to a renorming. Also we study non-linear sufficient conditions for $\ell_1^n$ being $(1+\varepsilon)$-isomorphic to a subspace of a Banach space $X$.

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Antonin Prochazka. 2016-03-02. Linear properties of Banach spaces and low distortion embeddings of metric graphs. https://arxiv.org/abs/1603.00741

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