QUASI - MACKEY TOPOLOGY

Let E1, E2 be Hausdorff locally convex spaces with E2 quasi-complete, and T : E1 → E2 a continuous linear map. Then T maps bounded sets of E1 into relatively weakly compact subsets of E2 if and only if T is continuous with quasi-Mackey topology on E1. If E1 has quasi-Mackey topology and E2...

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Autor principal:	SINGH KHURANA,SURJIT
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2007
Materias:	quasi - Mackey topology weakly unconditionally Cauchy unconditionally converging operators.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300003
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spelling	oai:scielo:S0716-091720070003000032008-01-28QUASI - MACKEY TOPOLOGYSINGH KHURANA,SURJIT quasi - Mackey topology weakly unconditionally Cauchy unconditionally converging operators. Let E1, E2 be Hausdorff locally convex spaces with E2 quasi-complete, and T : E1 → E2 a continuous linear map. Then T maps bounded sets of E1 into relatively weakly compact subsets of E2 if and only if T is continuous with quasi-Mackey topology on E1. If E1 has quasi-Mackey topology and E2 is quasi-complete, then a sequentially continuos linear map T : E1 → E2 is an unconditionally converging operator.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.26 n.3 20072007-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300003en10.4067/S0716-09172007000300003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	quasi - Mackey topology weakly unconditionally Cauchy unconditionally converging operators.
spellingShingle	quasi - Mackey topology weakly unconditionally Cauchy unconditionally converging operators. SINGH KHURANA,SURJIT QUASI - MACKEY TOPOLOGY
description	Let E1, E2 be Hausdorff locally convex spaces with E2 quasi-complete, and T : E1 → E2 a continuous linear map. Then T maps bounded sets of E1 into relatively weakly compact subsets of E2 if and only if T is continuous with quasi-Mackey topology on E1. If E1 has quasi-Mackey topology and E2 is quasi-complete, then a sequentially continuos linear map T : E1 → E2 is an unconditionally converging operator.
author	SINGH KHURANA,SURJIT
author_facet	SINGH KHURANA,SURJIT
author_sort	SINGH KHURANA,SURJIT
title	QUASI - MACKEY TOPOLOGY
title_short	QUASI - MACKEY TOPOLOGY
title_full	QUASI - MACKEY TOPOLOGY
title_fullStr	QUASI - MACKEY TOPOLOGY
title_full_unstemmed	QUASI - MACKEY TOPOLOGY
title_sort	quasi - mackey topology
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2007
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300003
work_keys_str_mv	AT singhkhuranasurjit quasimackeytopology
_version_	1718439754210476032

QUASI - MACKEY TOPOLOGY

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