AN ABSTRACT GLIDING HUMP PROPERTY

In this paper we introduce an abstract gliding hump property for sequence spaces which includes the signed weak and strong gliding hump properties as special cases. Further examples of sequence spaces satisfying the abstract gliding hump property are given, We then derive results concerning uniform...

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Autor principal:	SWARTZ,CHARLES
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2009
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100008
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spelling	oai:scielo:S0716-091720090001000082009-07-01AN ABSTRACT GLIDING HUMP PROPERTYSWARTZ,CHARLESIn this paper we introduce an abstract gliding hump property for sequence spaces which includes the signed weak and strong gliding hump properties as special cases. Further examples of sequence spaces satisfying the abstract gliding hump property are given, We then derive results concerning uniform convergence in β-duals, Hahn-Schur theorems and Orlicz-Pettis theorems for multiplier convergent series whose multiplier space satisfies the abstract gliding hump property.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.28 n.1 20092009-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100008en10.4067/S0716-09172009000100008
institution	Scielo Chile
collection	Scielo Chile
language	English
description	In this paper we introduce an abstract gliding hump property for sequence spaces which includes the signed weak and strong gliding hump properties as special cases. Further examples of sequence spaces satisfying the abstract gliding hump property are given, We then derive results concerning uniform convergence in β-duals, Hahn-Schur theorems and Orlicz-Pettis theorems for multiplier convergent series whose multiplier space satisfies the abstract gliding hump property.
author	SWARTZ,CHARLES
spellingShingle	SWARTZ,CHARLES AN ABSTRACT GLIDING HUMP PROPERTY
author_facet	SWARTZ,CHARLES
author_sort	SWARTZ,CHARLES
title	AN ABSTRACT GLIDING HUMP PROPERTY
title_short	AN ABSTRACT GLIDING HUMP PROPERTY
title_full	AN ABSTRACT GLIDING HUMP PROPERTY
title_fullStr	AN ABSTRACT GLIDING HUMP PROPERTY
title_full_unstemmed	AN ABSTRACT GLIDING HUMP PROPERTY
title_sort	abstract gliding hump property
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2009
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100008
work_keys_str_mv	AT swartzcharles anabstractglidinghumpproperty AT swartzcharles abstractglidinghumpproperty
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AN ABSTRACT GLIDING HUMP PROPERTY

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