AN ABSTRACT ORLICS: PETTIS THEOREM AND APPLICATIONS

AN ABSTRACT ORLICS: PETTIS THEOREM AND APPLICATIONS

In this paper we establish two abstract versions of the classical Orlicz-Pettis Theorem for multiplier convergent series. We show that these abstract results yield known versions of the Orlicz-Pettis Theorem for locally convex spaces as well as versions for operator valued series. We also give appli...

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Autores principales: RONGLU,LI, SWARTZ,CHARLES
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2008
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000200003
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spelling oai:scielo:S0716-091720080002000032009-03-05AN ABSTRACT ORLICS: PETTIS THEOREM AND APPLICATIONSRONGLU,LISWARTZ,CHARLESIn this paper we establish two abstract versions of the classical Orlicz-Pettis Theorem for multiplier convergent series. We show that these abstract results yield known versions of the Orlicz-Pettis Theorem for locally convex spaces as well as versions for operator valued series. We also give applications to vector valued measures and spaces of continuous functions.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.27 n.2 20082008-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000200003en10.4067/S0716-09172008000200003
institution Scielo Chile
collection Scielo Chile
language English
description In this paper we establish two abstract versions of the classical Orlicz-Pettis Theorem for multiplier convergent series. We show that these abstract results yield known versions of the Orlicz-Pettis Theorem for locally convex spaces as well as versions for operator valued series. We also give applications to vector valued measures and spaces of continuous functions.
author RONGLU,LI
SWARTZ,CHARLES
spellingShingle RONGLU,LI
SWARTZ,CHARLES
AN ABSTRACT ORLICS: PETTIS THEOREM AND APPLICATIONS
author_facet RONGLU,LI
SWARTZ,CHARLES
author_sort RONGLU,LI
title AN ABSTRACT ORLICS: PETTIS THEOREM AND APPLICATIONS
title_short AN ABSTRACT ORLICS: PETTIS THEOREM AND APPLICATIONS
title_full AN ABSTRACT ORLICS: PETTIS THEOREM AND APPLICATIONS
title_fullStr AN ABSTRACT ORLICS: PETTIS THEOREM AND APPLICATIONS
title_full_unstemmed AN ABSTRACT ORLICS: PETTIS THEOREM AND APPLICATIONS
title_sort abstract orlics: pettis theorem and applications
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2008
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000200003
work_keys_str_mv AT rongluli anabstractorlicspettistheoremandapplications
AT swartzcharles anabstractorlicspettistheoremandapplications
AT rongluli abstractorlicspettistheoremandapplications
AT swartzcharles abstractorlicspettistheoremandapplications
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