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Mosco convergence and the Kadec property

Borwein, Jonathan M. and Fitzpatrick, Simon (1989) Mosco convergence and the Kadec property. Proceedings of the American Mathematical Society, 106 . pp. 843-851. ISSN 0002-9939

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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.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 18 Feb 2015 15:56
Last Modified: 18 Feb 2015 15:56
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1584

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