THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES

We establish uniform boundedness principle for pointwise bounded families of continuous linear operators between locally convex spaces which require no assumptions such as barrelledness on the domain space of the operators. We give applications of the result to separately continuous bilinear operato...

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Autor principal: SWARTZ,CHARLES
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2007
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300002
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spelling oai:scielo:S0716-091720070003000022008-01-28THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACESSWARTZ,CHARLESWe establish uniform boundedness principle for pointwise bounded families of continuous linear operators between locally convex spaces which require no assumptions such as barrelledness on the domain space of the operators. We give applications of the result to separately continuous bilinear operators between locally convex spacesinfo: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=S0716-09172007000300002en10.4067/S0716-09172007000300002
institution Scielo Chile
collection Scielo Chile
language English
description We establish uniform boundedness principle for pointwise bounded families of continuous linear operators between locally convex spaces which require no assumptions such as barrelledness on the domain space of the operators. We give applications of the result to separately continuous bilinear operators between locally convex spaces
author SWARTZ,CHARLES
spellingShingle SWARTZ,CHARLES
THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES
author_facet SWARTZ,CHARLES
author_sort SWARTZ,CHARLES
title THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES
title_short THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES
title_full THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES
title_fullStr THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES
title_full_unstemmed THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES
title_sort uniform boundedness principle for arbitrary locally convex spaces
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2007
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300002
work_keys_str_mv AT swartzcharles theuniformboundednessprincipleforarbitrarylocallyconvexspaces
AT swartzcharles uniformboundednessprincipleforarbitrarylocallyconvexspaces
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