ESTERLE, Jean; MATHERON, Etienne; MOREAU, P.

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ESTERLE, Jean
Institut de Mathématiques de Bordeaux [IMB]

MATHERON, Etienne
Laboratoire de Mathématiques de Lens [LML]

MOREAU, P.
Institut de Mathématiques de Bordeaux [IMB]

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Algebra i Analiz. 2015, vol. 27, n° 05, p. 32-68

Nauka, Leningradskoe otdelenie

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We discuss the Haar negligibility of the positive cone associated with a basic sequence in a separable Banach space. In particular, we show that up to equiva- lence, the canonical basis of c0 is the only normalized subsymmetric unconditional basic sequence whose positive cone is not Haar null, and the only normalized unconditional basic sequence whose positive cone contains a translate of every compact set. We also show that an unconditional basic sequence with a non-Haar null positive cone has to be c0-saturated in a very strong sense, and that every quotient of the space generated by such a sequence is c0-saturated.< Leer menos

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Schauder base

positive cone

Gauss negligibility

Haar negligibility

Gauss negligibility.

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Haar negigeability of positive cones in Banach spaces

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