Properties of multiplication operators on the space of functions of bounded φ-variation
| Autor: | Castillo René E., Ramos-Fernández Julio C., Vacca-González Harold |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Open Mathematics, Vol 19, Iss 1, Pp 492-504 (2021) |
| Druh dokumentu: | article |
| ISSN: | 2391-5455 |
| DOI: | 10.1515/math-2021-0050 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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