COMPACT OPERATORS

We give a characterization in terms of the transpose operator for a continuous linear operator between locally convex spaces to map bounded sets into relatively weakly compact [relatively compact, precompact] sets. Our results give a known characterization for compact operators between Banach spaces...

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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=S0716-09172009000300004
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spelling oai:scielo:S0716-091720090003000042010-04-08COMPACT OPERATORSSwartz,CharlesWe give a characterization in terms of the transpose operator for a continuous linear operator between locally convex spaces to map bounded sets into relatively weakly compact [relatively compact, precompact] sets. Our results give a known characterization for compact operators between Banach spaces.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.28 n.3 20092009-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000300004en10.4067/S0716-09172009000300004
institution Scielo Chile
collection Scielo Chile
language English
description We give a characterization in terms of the transpose operator for a continuous linear operator between locally convex spaces to map bounded sets into relatively weakly compact [relatively compact, precompact] sets. Our results give a known characterization for compact operators between Banach spaces.
author Swartz,Charles
spellingShingle Swartz,Charles
COMPACT OPERATORS
author_facet Swartz,Charles
author_sort Swartz,Charles
title COMPACT OPERATORS
title_short COMPACT OPERATORS
title_full COMPACT OPERATORS
title_fullStr COMPACT OPERATORS
title_full_unstemmed COMPACT OPERATORS
title_sort compact operators
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2009
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000300004
work_keys_str_mv AT swartzcharles compactoperators
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