The essential norm of multiplication operators acting on Orlicz sequence spaces

Abstract We calculate the measure of non-compactness or the essential norm of the multiplication operator M u acting on Orlicz sequence spaces l ϕ . As a consequence of our result, we obtain a known criteria for the compactness of multiplication operator acting on l ϕ .

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Autores principales:	Ramos-Fernández,Julio C., Salas-Brown,Margot
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Multiplication operator Orlicz sequence spaces Banach lattice Essential norm
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601407
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spelling	oai:scielo:S0716-091720200006014072020-12-02The essential norm of multiplication operators acting on Orlicz sequence spacesRamos-Fernández,Julio C.Salas-Brown,Margot Multiplication operator Orlicz sequence spaces Banach lattice Essential norm Abstract We calculate the measure of non-compactness or the essential norm of the multiplication operator M u acting on Orlicz sequence spaces l ϕ . As a consequence of our result, we obtain a known criteria for the compactness of multiplication operator acting on l ϕ .info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.6 20202020-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601407en10.22199/issn.0717-6279-2020-06-0086
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Multiplication operator Orlicz sequence spaces Banach lattice Essential norm
spellingShingle	Multiplication operator Orlicz sequence spaces Banach lattice Essential norm Ramos-Fernández,Julio C. Salas-Brown,Margot The essential norm of multiplication operators acting on Orlicz sequence spaces
description	Abstract We calculate the measure of non-compactness or the essential norm of the multiplication operator M u acting on Orlicz sequence spaces l ϕ . As a consequence of our result, we obtain a known criteria for the compactness of multiplication operator acting on l ϕ .
author	Ramos-Fernández,Julio C. Salas-Brown,Margot
author_facet	Ramos-Fernández,Julio C. Salas-Brown,Margot
author_sort	Ramos-Fernández,Julio C.
title	The essential norm of multiplication operators acting on Orlicz sequence spaces
title_short	The essential norm of multiplication operators acting on Orlicz sequence spaces
title_full	The essential norm of multiplication operators acting on Orlicz sequence spaces
title_fullStr	The essential norm of multiplication operators acting on Orlicz sequence spaces
title_full_unstemmed	The essential norm of multiplication operators acting on Orlicz sequence spaces
title_sort	essential norm of multiplication operators acting on orlicz sequence spaces
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601407
work_keys_str_mv	AT ramosfernandezjulioc theessentialnormofmultiplicationoperatorsactingonorliczsequencespaces AT salasbrownmargot theessentialnormofmultiplicationoperatorsactingonorliczsequencespaces AT ramosfernandezjulioc essentialnormofmultiplicationoperatorsactingonorliczsequencespaces AT salasbrownmargot essentialnormofmultiplicationoperatorsactingonorliczsequencespaces
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The essential norm of multiplication operators acting on Orlicz sequence spaces

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