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

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 $(1+\epsilon )$-isomorphic to a subspace of a Banach space $X$.

References in corpus (1)

• Low distortion embeddings into Asplund Banach spaces