ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE

Classical theory of tensornorms and operator ideals studies mainlythose defined by means of sequence spaces ..p. Considering Orlicz sequence spaces as natural generalization of ..p spaces, in a previous paper [12] an Orlicz sequence space was used to define a tensornorm, and characterize minimal and...

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Autores principales:	LÓPEZ,J, RIVERA,M, LOAIZA,G
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2006
Materias:	Maximal operator ideals Ultraproducts of spaces Orlicz spaces
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000300005
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spelling	oai:scielo:S0716-091720060003000052007-03-21ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACELÓPEZ,JRIVERA,MLOAIZA,G Maximal operator ideals Ultraproducts of spaces Orlicz spaces Classical theory of tensornorms and operator ideals studies mainlythose defined by means of sequence spaces ..p. Considering Orlicz sequence spaces as natural generalization of ..p spaces, in a previous paper [12] an Orlicz sequence space was used to define a tensornorm, and characterize minimal and maximal operator ideals associated, by using local techniques. Now, in this paper we give a new characterization of the maximal operator ideal to continue our analysis of some coincidences among such operator ideals. Finally we prove some new metric properties of tensornorm mentioned aboveinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.25 n.3 20062006-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000300005en10.4067/S0716-09172006000300005
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Maximal operator ideals Ultraproducts of spaces Orlicz spaces
spellingShingle	Maximal operator ideals Ultraproducts of spaces Orlicz spaces LÓPEZ,J RIVERA,M LOAIZA,G ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE
description	Classical theory of tensornorms and operator ideals studies mainlythose defined by means of sequence spaces ..p. Considering Orlicz sequence spaces as natural generalization of ..p spaces, in a previous paper [12] an Orlicz sequence space was used to define a tensornorm, and characterize minimal and maximal operator ideals associated, by using local techniques. Now, in this paper we give a new characterization of the maximal operator ideal to continue our analysis of some coincidences among such operator ideals. Finally we prove some new metric properties of tensornorm mentioned above
author	LÓPEZ,J RIVERA,M LOAIZA,G
author_facet	LÓPEZ,J RIVERA,M LOAIZA,G
author_sort	LÓPEZ,J
title	ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE
title_short	ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE
title_full	ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE
title_fullStr	ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE
title_full_unstemmed	ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE
title_sort	on operator ideals defined by a reflexive orlicz sequence space
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2006
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000300005
work_keys_str_mv	AT lopezj onoperatoridealsdefinedbyareflexiveorliczsequencespace AT riveram onoperatoridealsdefinedbyareflexiveorliczsequencespace AT loaizag onoperatoridealsdefinedbyareflexiveorliczsequencespace
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ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE

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