REPRESENTATION THEOREMS OF LINEAR OPERATORS ON P-ADIC FUNCTION SPACES

REPRESENTATION THEOREMS OF LINEAR OPERATORS ON P-ADIC FUNCTION SPACES

Let X be a 0-dimensional Hausforff topological space, E; F nonarchimedean Banach spaces and Cb (X;E) the space of all continuous E-valued functions on X provided with two strict topologies. In this paper we show that every F ¡valued linear operator which is strictly continuous can be represented by a certain L(E; F)¡valued measure defined on the ring of all clopen subsets of X

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Main Authors: AGUAYO,JOSE, CHANDIA,ELSA, OJEDA,JACQUELINE
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2004
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200003
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spelling oai:scielo:S0716-091720040002000032004-09-29REPRESENTATION THEOREMS OF LINEAR OPERATORS ON P-ADIC FUNCTION SPACESAGUAYO,JOSECHANDIA,ELSAOJEDA,JACQUELINELet X be a 0-dimensional Hausforff topological space, E; F nonarchimedean Banach spaces and Cb (X;E) the space of all continuous E-valued functions on X provided with two strict topologies. In this paper we show that every F ¡valued linear operator which is strictly continuous can be represented by a certain L(E; F)¡valued measure defined on the ring of all clopen subsets of Xinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.23 n.2 20042004-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200003en10.4067/S0716-09172004000200003
institution SCIELO
collection OJS
country Chile
countrycode CL
component Revista
access En linea
databasecode rev-scielo-cl
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author AGUAYO,JOSE
CHANDIA,ELSA
OJEDA,JACQUELINE
spellingShingle AGUAYO,JOSE
CHANDIA,ELSA
OJEDA,JACQUELINE
REPRESENTATION THEOREMS OF LINEAR OPERATORS ON P-ADIC FUNCTION SPACES
author_facet AGUAYO,JOSE
CHANDIA,ELSA
OJEDA,JACQUELINE
author_sort AGUAYO,JOSE
title REPRESENTATION THEOREMS OF LINEAR OPERATORS ON P-ADIC FUNCTION SPACES
title_short REPRESENTATION THEOREMS OF LINEAR OPERATORS ON P-ADIC FUNCTION SPACES
title_full REPRESENTATION THEOREMS OF LINEAR OPERATORS ON P-ADIC FUNCTION SPACES
title_fullStr REPRESENTATION THEOREMS OF LINEAR OPERATORS ON P-ADIC FUNCTION SPACES
title_full_unstemmed REPRESENTATION THEOREMS OF LINEAR OPERATORS ON P-ADIC FUNCTION SPACES
title_sort representation theorems of linear operators on p-adic function spaces
description Let X be a 0-dimensional Hausforff topological space, E; F nonarchimedean Banach spaces and Cb (X;E) the space of all continuous E-valued functions on X provided with two strict topologies. In this paper we show that every F ¡valued linear operator which is strictly continuous can be represented by a certain L(E; F)¡valued measure defined on the ring of all clopen subsets of X
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2004
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200003
work_keys_str_mv AT aguayojose representationtheoremsoflinearoperatorsonpadicfunctionspaces
AT chandiaelsa representationtheoremsoflinearoperatorsonpadicfunctionspaces
AT ojedajacqueline representationtheoremsoflinearoperatorsonpadicfunctionspaces
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