Displaying similar documents to “On Pelczynski's property (V*) in vector sequence spaces.”

On spreading c 0 -sequences in Banach spaces

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...

Unconditionally convergent polynomials in Banach spaces and related properties.

M.ª Teresa Fernández Unzueta (1997)

Extracta Mathematicae

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Our aim is to introduce a new notion of unconditionallity, in the context of polynomials in Banach spaces, that looks directly to the polynomial topology defined on the involved spaces. This notion allows us to generalize some well-known relations of duality that appear in the linear context.