On the quasi-weak drop property

• Autorzy: J. H. Qiu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46A55: Convex sets in topological linear spaces; Choquet theory
• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 151
• Numer: 2
• Strony: 187-194

Daty

wydano

2002

Twórcy

autor

J. H. Qiu

• Department of Mathematics, Suzhou University, Suzhou, Jiangsu 215006, People's Republic of China

Identyfikatory

DOI

10.4064/sm151-2-6