Displaying similar documents to “Uniform minimality, unconditionality and interpolation in backward shift invariant subspaces”

The cofinal property of the reflexive indecomposable Banach spaces

Spiros A. Argyros, Theocharis Raikoftsalis (2012)

Annales de l’institut Fourier

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It is shown that every separable reflexive Banach space is a quotient of a reflexive hereditarily indecomposable space, which yields that every separable reflexive Banach is isomorphic to a subspace of a reflexive indecomposable space. Furthermore, every separable reflexive Banach space is a quotient of a reflexive complementably ℓ p -saturated space with 1 < p < ∞ and of a c 0 saturated space.

Banach spaces without minimal subspaces – Examples

Valentin Ferenczi, Christian Rosendal (2012)

Annales de l’institut Fourier

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We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in [11],by classifying them according to which side of the dichotomies they fall.

(Non-)weakly mixing operators and hypercyclicity sets

Frédéric Bayart, Étienne Matheron (2009)

Annales de l’institut Fourier

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We study the frequency of hypercyclicity of hypercyclic, non–weakly mixing linear operators. In particular, we show that on the space ℓ 1 ( ℕ ) , any sublinear frequency can be realized by a non–weakly mixing operator. A weaker but similar result is obtained for c 0 ( ℕ ) or ℓ p ( ℕ ) , 1 < p < ∞ . Part of our results is related to some Sidon-type lacunarity properties for sequences of natural numbers.