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- W2949735318 abstract "In this paper we first show that if $X$ is a Banach space and $alpha$ is a left invariant crossnorm on $ell_inftyotimes X$, then there is a Banach lattice $L$ and an isometric embedding $J$ of $X$ into $L$, so that $Iotimes J$ becomes an isometry of $ell_inftyotimes_alpha X$ onto $ell_inftyotimes_m J(X)$. Here $I$ denotes the identity operator on $ell_infty$ and $ell_inftyotimes_m J(X)$ the canonical lattice tensor product. This result is originally due to G. Pisier (unpublished), but our proof is different. We then use this to characterize the Gordon-Lewis property $GL$ in terms of embeddings into Banach lattices. Also other structures related to the $GL$ are investigated." @default.
- W2949735318 created "2019-06-27" @default.
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- W2949735318 date "1998-12-30" @default.
- W2949735318 modified "2023-09-27" @default.
- W2949735318 title "Embeddings of Banach Spaces into Banach Lattices and the Gordon-Lewis Property" @default.
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