Geodesic
On the quasi-weak drop property
J. H. Qiu 1
1 Department of Mathematics Suzhou University Suzhou, Jiangsu 215006 People's Republic of China
Studia Mathematica, Tome 151 (2002) no. 2, pp. 187-194 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm151-2-6
Keywords: drop property quasi weak drop property introduced using streaming sequences introduced rolewicz characterisation quasi weak drop property given closed bounded convex sets chet space shown quasi weak drop property equivalent weak compactness chet space reflexive only every closed bounded convex set space has quasi weak drop property

J. H. Qiu  1

1 Department of Mathematics Suzhou University Suzhou, Jiangsu 215006 People's Republic of China 
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J. H. Qiu. On the quasi-weak drop property. Studia Mathematica, Tome 151 (2002) no. 2, pp. 187-194. doi: 10.4064/sm151-2-6

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