On Banach spaces containing $L_{1}(μ)$

We prove that the direct sum and the product of countably many copies of L[0, 1] are primary locally convex spaces. We also give some related results.

Some more Banach spaces which contain l¹

James Hagler (1973)

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P. Wojtaszczyk (1973)

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The isomorphic problem of envelopes

Stefan Heinrich (1982)

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Total subspaces in dual Banach spaces which are not norming over any infinite-dimensional subspace

M. Ostrovskiĭ (1993)

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The main result: the dual of separable Banach space X contains a total subspace which is not norming over any infinite-dimensional subspace of X if and only if X has a nonquasireflexive quotient space with a strictly singular quotient mapping.

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Displaying similar documents to “On Banach spaces containing $L_{1} (μ)$ ”