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arxiv: 0710.5944 · v1 · submitted 2007-10-31 · 🧮 math.FA

Some new characterizations of Banach spaces containing ell¹

Haskell P. Rosenthal This is my paper
classification 🧮 math.FA
keywords banachspacescharacterizationscontainingappliedembedsinjectiveisomorphic
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Several new characterizations of Banach spaces containing a subspace isomorphic to $\ell^1$, are obtained. These are applied to the question of when $\ell^1$ embeds in the injective tensor product of two Banach spaces.

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Cited by 2 Pith papers

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    Strongly integrable operator-valued functions generate norm-countably additive measures when X* avoids c0, so their integrals of compact operators are compact when X avoids ℓ1, plus a spectral radius inequality for co...

  2. Strongly Integrable Operator-Valued Functions, Generated Vector Measures and Compactness of Integrals

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