Mosco convergence and the Kadec property-Reference-Cited by-同舟云学术

Mosco convergence and the Kadec property

Published:1989 Issue:3 Volume:106 Page:843-851
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Borwein Jonathan M.,Fitzpatrick Simon

Abstract

We study the relationship between Wijsman convergence and Mosco convergence for sequences of convex sets. Our central result is that Mosco convergence and Wijsman convergence coincide for sequences of convex sets if and only if the underlying space is reflexive with the dual norm having the Kadec property.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1989-106-03/S0002-9939-1989-0969313-4/S0002-9939-1989-0969313-4.pdf

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