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Currently displaying 1 – 4 of 4

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Non-archimedean nuclearity

Nicole de Grande-de Kimpe

Groupe de travail d'analyse ultramétrique

$L_{f} (a, r)$ -spaces between which all the operators are compact. I.

Nicole De Grande-De Kimpe — 1977

Commentationes Mathematicae Universitatis Carolinae

$L_{f} (a, r)$ -spaces between which all the operators are compact. II.

Nicole De Grande-De Kimpe — 1978

Commentationes Mathematicae Universitatis Carolinae

The non-archimedian space BC(X) with the strict topology.

Nicole De Grande-De Kimpe; Samuel Navarro — 1994

Publicacions Matemàtiques

Let X be a zero-dimensional, Hausdorff topological space and K a field with 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.

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