- Title
- Mosco convergence and the Kadec property
- Creator
- Borwein, Jonathan M.; Fitzpatrick, Simon
- Relation
- Proceedings of the American Mathematical Society Vol. 106, Issue 3, p. 843-851
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9939-1989-0969313-4
- Publisher
- American Mathematical Society
- Resource Type
- journal article
- Date
- 1989
- Description
- 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.
- Subject
- Mosco convergence; Wijsman convergence; Kadec property; convex sets
- Identifier
- http://hdl.handle.net/1959.13/940515
- Identifier
- uon:13027
- Identifier
- ISSN:0002-9939
- Rights
- First published in Proceedings of the American Mathematical Society in Vol. 106, No. 3, pp. 843-851, 1989, published by the American Mathematical Society.
- Language
- eng
- Full Text
- Reviewed
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 770 KB | Adobe Acrobat PDF | View Details Download |