Displaying similar documents to “Quasi-reflexivity, Weakly Unconditionally Convergent Series and Weak Compactness.”

On the quasi-weak drop property

J. H. Qiu (2002)

Studia Mathematica

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A new drop property, the quasi-weak drop property, is introduced. Using streaming sequences introduced by Rolewicz, a characterisation of the quasi-weak drop property is given for closed bounded convex sets in a Fréchet space. From this, it is shown that the quasi-weak drop property is equivalent to weak compactness. Thus a Fréchet space is reflexive if and only if every closed bounded convex set in the space has the quasi-weak drop property.