### On Pelczynski's property (V*) in vector sequence spaces.

Fernando Bombal Gordón (1988)

Collectanea Mathematica

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Fernando Bombal Gordón (1988)

Collectanea Mathematica

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E. Odell (1980)

Compositio Mathematica

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B. Barnes, A. Roy (1969)

Studia Mathematica

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A. Pełczyński (1965)

Studia Mathematica

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Vassiliki Farmaki (1999)

Studia Mathematica

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We introduce and study the spreading-(s) and the spreading-(u) property of a Banach space and their relations. A space has the spreading-(s) property if every normalized weakly null sequence has a subsequence with a spreading model equivalent to the usual basis of ${c}_{0}$; while it has the spreading-(u) property if every weak Cauchy and non-weakly convergent sequence has a convex block subsequence with a spreading model equivalent to the summing basis of ${c}_{0}$. The main results proved are the...

Françoise Lust-Piquard, Walter Schachermayer (1989)

Studia Mathematica

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V. Kadets, Yu. Korobeĭnik (1992)

Studia Mathematica

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We introduce various classes of representing systems in linear topological spaces and investigate their connections in spaces with different topological properties. Let us cite a typical result of the paper. If H is a weakly separated sequentially separable linear topological space then there is a representing system in H which is not absolutely representing.

Yunan Cui, Henryk Hudzik (1999)

Collectanea Mathematica

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A. Alexiewicz, W. Orlicz (1959)

Studia Mathematica

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C. Bessaga, A. Pełczyński (1958)

Studia Mathematica

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