ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANK

ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANK

Let K be a complete non-archimedean valued field of any rank, and let E be a K-Banach space with a countable topological base. We determine the algebraic dimension of E (2.3, 2.4, 3.1).

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Autores principales: OCHSENIUS,HERMINIA, SCHIKHOF,W. H.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2007
Materias:
Banach spaces
valued fields
algebraic dimension
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300001
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spelling oai:scielo:S0716-091720070003000012008-01-28ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANKOCHSENIUS,HERMINIASCHIKHOF,W. H. Banach spaces valued fields algebraic dimension Let K be a complete non-archimedean valued field of any rank, and let E be a K-Banach space with a countable topological base. We determine the algebraic dimension of E (2.3, 2.4, 3.1).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=S0716-09172007000300001en10.4067/S0716-09172007000300001
institution Scielo Chile
collection Scielo Chile
language English
topic Banach spaces
valued fields
algebraic dimension
spellingShingle Banach spaces
valued fields
algebraic dimension
OCHSENIUS,HERMINIA
SCHIKHOF,W. H.
ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANK
description Let K be a complete non-archimedean valued field of any rank, and let E be a K-Banach space with a countable topological base. We determine the algebraic dimension of E (2.3, 2.4, 3.1).
author OCHSENIUS,HERMINIA
SCHIKHOF,W. H.
author_facet OCHSENIUS,HERMINIA
SCHIKHOF,W. H.
author_sort OCHSENIUS,HERMINIA
title ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANK
title_short ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANK
title_full ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANK
title_fullStr ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANK
title_full_unstemmed ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANK
title_sort on the algebraic dimension of banach spaces over non-archimedean valued fields or arbitrary rank
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2007
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300001
work_keys_str_mv AT ochseniusherminia onthealgebraicdimensionofbanachspacesovernonarchimedeanvaluedfieldsorarbitraryrank
AT schikhofwh onthealgebraicdimensionofbanachspacesovernonarchimedeanvaluedfieldsorarbitraryrank
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