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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 3, Pages 649–664
(Mi smj884)
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This article is cited in 3 scientific papers (total in 3 papers)
Lipschitzian superposition operators on metric semigroups and abstract convex cones of mappings of finite $\Lambda$-variation
O. M. Solycheva N. I. Lobachevski State University of Nizhni Novgorod
Abstract:
We give a complete description for the Lipschitzian superposition operators acting on mappings of finite $\Lambda$-variation with values in a metric semigroup or abstract convex cone and also their analogs for set-valued superposition operators.
Keywords:
Waterman $\Lambda$-variation, mapping with values in a metric space, Nemytskii superposition operator, Lipschitz condition, Banach algebra type property.
Received: 25.12.2004
Citation:
O. M. Solycheva, “Lipschitzian superposition operators on metric semigroups and abstract convex cones of mappings of finite $\Lambda$-variation”, Sibirsk. Mat. Zh., 47:3 (2006), 649–664; Siberian Math. J., 47:3 (2006), 537–550
Linking options:
https://www.mathnet.ru/eng/smj884 https://www.mathnet.ru/eng/smj/v47/i3/p649
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Abstract page: | 223 | Full-text PDF : | 97 | References: | 42 |
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