STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES

P. Dierolf has shown that there is a strongest locally convex polar topology which has the same subseries (bounded multiplier) convergent series as the weak topology, and I. Tweddle has shown that there is a strongest locally convex topology which has the same subseries convergent series as the weak...

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Autor principal:	SWARTZ,CHARLES
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2006
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200001
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spelling	oai:scielo:S0716-091720060002000012006-08-24STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIESSWARTZ,CHARLESP. Dierolf has shown that there is a strongest locally convex polar topology which has the same subseries (bounded multiplier) convergent series as the weak topology, and I. Tweddle has shown that there is a strongest locally convex topology which has the same subseries convergent series as the weak topology. We establish the analogues of these results for multiplier convergent series if the sequence space of multipliers has the signed weak gliding hump property. We compare our main result with other known Orlicz-Pettis Theorems for multiplier convergent series.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.25 n.2 20062006-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200001en10.4067/S0716-09172006000200001
institution	Scielo Chile
collection	Scielo Chile
language	English
description	P. Dierolf has shown that there is a strongest locally convex polar topology which has the same subseries (bounded multiplier) convergent series as the weak topology, and I. Tweddle has shown that there is a strongest locally convex topology which has the same subseries convergent series as the weak topology. We establish the analogues of these results for multiplier convergent series if the sequence space of multipliers has the signed weak gliding hump property. We compare our main result with other known Orlicz-Pettis Theorems for multiplier convergent series.
author	SWARTZ,CHARLES
spellingShingle	SWARTZ,CHARLES STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES
author_facet	SWARTZ,CHARLES
author_sort	SWARTZ,CHARLES
title	STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES
title_short	STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES
title_full	STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES
title_fullStr	STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES
title_full_unstemmed	STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES
title_sort	strong topologies for multiplier convergent series
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2006
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200001
work_keys_str_mv	AT swartzcharles strongtopologiesformultiplierconvergentseries
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STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES

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