The non-archimedean space BC(X) with the strict topology
De Grande-De Kimpe, N. (Vrije Universiteit Brussel. Department of Mathematics)
Navarro Hernández, Samuel (Universidad de Santiago de Chile. Departamento de Matemáticas)

Date:	1994
Abstract:	Let X be a zero-dimensional, Hausdorff topological space and K a field with a non-trivial, non-archimedean valuation under which it is complete. Then BC(X) is the vector space of the bounded continuous functions from X to K. We obtain necessary and sufficient conditions for BC(X), equipped with the strict topology, to be of countable type and to be nuclear in the non-archimedean sense.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Publicacions matemàtiques, Vol. 38, Núm. 1 (1994) , p. 187-194, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37798
DOI: 10.5565/PUBLMAT_38194_13

8 p, 1.4 MB

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