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:	Castillo René E., Ramos-Fernández Julio C., Vacca-González Harold
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	multiplication operator bounded variation functions compact operators fredholm operators 47b38 26a45 26b30 46e40 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/093254f3df2e4163b67462802c2b5e21
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spelling	oai:doaj.org-article:093254f3df2e4163b67462802c2b5e212021-12-05T14:10:53ZProperties of multiplication operators on the space of functions of bounded φ-variation2391-545510.1515/math-2021-0050https://doaj.org/article/093254f3df2e4163b67462802c2b5e212021-06-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0050https://doaj.org/toc/2391-5455In 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.Castillo René E.Ramos-Fernández Julio C.Vacca-González HaroldDe Gruyterarticlemultiplication operatorbounded variation functionscompact operatorsfredholm operators47b3826a4526b3046e40MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 492-504 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	multiplication operator bounded variation functions compact operators fredholm operators 47b38 26a45 26b30 46e40 Mathematics QA1-939
spellingShingle	multiplication operator bounded variation functions compact operators fredholm operators 47b38 26a45 26b30 46e40 Mathematics QA1-939 Castillo René E. Ramos-Fernández Julio C. Vacca-González Harold Properties of multiplication operators on the space of functions of bounded φ-variation
description	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.
format	article
author	Castillo René E. Ramos-Fernández Julio C. Vacca-González Harold
author_facet	Castillo René E. Ramos-Fernández Julio C. Vacca-González Harold
author_sort	Castillo René E.
title	Properties of multiplication operators on the space of functions of bounded φ-variation
title_short	Properties of multiplication operators on the space of functions of bounded φ-variation
title_full	Properties of multiplication operators on the space of functions of bounded φ-variation
title_fullStr	Properties of multiplication operators on the space of functions of bounded φ-variation
title_full_unstemmed	Properties of multiplication operators on the space of functions of bounded φ-variation
title_sort	properties of multiplication operators on the space of functions of bounded φ-variation
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/093254f3df2e4163b67462802c2b5e21
work_keys_str_mv	AT castillorenee propertiesofmultiplicationoperatorsonthespaceoffunctionsofboundedphvariation AT ramosfernandezjulioc propertiesofmultiplicationoperatorsonthespaceoffunctionsofboundedphvariation AT vaccagonzalezharold propertiesofmultiplicationoperatorsonthespaceoffunctionsofboundedphvariation
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Properties of multiplication operators on the space of functions of bounded φ-variation

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