Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces

Title: Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces
Creator: Borwein, Jonathan M.; Lewis, Adrian S.
Relation: Set-Valued Analysis Vol. 1, Issue 4, p. 355-363
Publisher Link: http://dx.doi.org/10.1007/BF01027825
Publisher: Kluwer Academic Publishers
Resource Type: journal article
Date: 1993
Description: We consider nested sequences of linear or convex closed sets of the form arising in estimation and other inverse problems. We show that such sequences may fail to converge in any of the recently studied set convergences other than Mosco convergence. We also provide a positive result concerning the epislice convergence of related sequences of functions.
Subject: set convergence; Mosco convergence; slice convergence; Wijsman convergence; Painlevé-Kuratowski convergence; moment problems; inverse problems; nonreflexive spaces
Identifier: http://hdl.handle.net/1959.13/940876
Identifier: uon:13118
Identifier: ISSN:0927-6947
Language: eng
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