Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces (Q1321595)
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scientific article; zbMATH DE number 558528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces |
scientific article; zbMATH DE number 558528 |
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Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces (English)
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19 May 1994
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A nested sequence of linear or convex closed sets of the form arising in estimation and other inverse problems is considered. It is shown that such a sequence may fail to converge in any of the recently studied set- convergences other than Mosco convergence. A positive result concerning the epislice convergence of related sequences of functions is provided.
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nonreflexive Banach spaces
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convex closed sets
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set-convergences
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Mosco convergence
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epislice convergence
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