Isomorphic embeddings of some generalized power series spaces

V. Kashirin

Displaying similar documents to “Isomorphic embeddings of some generalized power series spaces”

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Perturbations of Schauder bases in the spaces C(K) and $L^{p}$ , p<1

Alfred Andrew (1979)

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On the structure of separable $L_{p}$ spaces (1 < p < ∞)

D. Alspach, P. Enflo, E. Odell (1977)

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A. Pełczyński (1960)

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Universal bases

A. Pełczyński (1969)

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I. Edelstein, P. Wojtaszczyk (1976)

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J. Holub, J. Retherford (1970)

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On finite dimensional subspaces of Banach spaces with local unconditional structure

William Johnson (1974)

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Uniqueness of unconditional bases in $c_{0}$ -products

P. Casazza, N. Kalton (1999)

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We give counterexamples to a conjecture of Bourgain, Casazza, Lindenstrauss and Tzafriri that if X has a unique unconditional basis (up to permutation) then so does $c_{0} (X)$ . We also give some positive results including a simpler proof that $c_{0} (ℓ_{1})$ has a unique unconditional basis and a proof that $c_{0} (ℓ_{p_{n}}^{N_{n}})$ has a unique unconditional basis when $p_{n} ￬ 1$ , $N_{n + 1} \geq 2 N_{n}$ and $(p_{n} - p_{n + 1}) l o g N_{n}$ remains bounded.

Remarks on bases in a Fréchet function space.

Päivi Mattila, Jari Taskinen (1993)

Revista Matemática de la Universidad Complutense de Madrid

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