On continuity of operators of metrical projection
We consider the metric-projection operators in the space Lp(λ), 1 < p < ∞, where λ ∈ Mb, Mb being the space of bounded Randon measures. The metric-projection operators project a fixed element g ∈ Cb in Lp(λ) onto a closed convex subset K ⸦ Cub, where Cub&nb...
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8050 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We consider the metric-projection operators in the space Lp(λ), 1 < p < ∞, where λ ∈ Mb, Mb being the space of bounded Randon measures. The metric-projection operators project a fixed element g ∈ Cb in Lp(λ) onto a closed convex subset K ⸦ Cub, where Cub is the space of bounded continuous functions in the topology of uniform convergence. We obtain statements on the continuity of the metric-projection operators, considered as mappings from Mb into K. |
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