Properties of multiplication operators on the space of functions of bounded φ-variation
In this paper, the functions u∈BVφ[0,1]u\in B{V}_{\varphi }\left[0,1] which define compact and Fredholm multiplication operators Mu{M}_{u} acting on the space of functions of bounded φ\varphi -variation are studied. All the functions u∈BVφ[0,1]u\hspace{-0.08em}\in \hspace{-0.08em}B{V}_{\varphi }\lef...
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| Autores principales: | , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
De Gruyter
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/093254f3df2e4163b67462802c2b5e21 |
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| Sumario: | In this paper, the functions u∈BVφ[0,1]u\in B{V}_{\varphi }\left[0,1] which define compact and Fredholm multiplication operators Mu{M}_{u} acting on the space of functions of bounded φ\varphi -variation are studied. All the functions u∈BVφ[0,1]u\hspace{-0.08em}\in \hspace{-0.08em}B{V}_{\varphi }\left[0,\hspace{-0.08em}1] which define multiplication operators Mu:BVφ[0,1]→BVφ[0,1]{M}_{u}:B{V}_{\varphi }\left[0,1]\to B{V}_{\varphi }\left[0,1] with closed range are characterized. |
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