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

Published 2 Mar 2016 in math.FA | (1603.00741v2)

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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Authors (1)

Antonin Prochazka

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