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

Nicole De Grande-De Kimpe; Samuel Navarro

Publicacions Matemàtiques (1994)

- Volume: 38, Issue: 1, page 187-194
- ISSN: 0214-1493

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topDe Grande-De Kimpe, Nicole, and Navarro, Samuel. "The non-archimedian space BC(X) with the strict topology.." Publicacions Matemàtiques 38.1 (1994): 187-194. <http://eudml.org/doc/41198>.

@article{DeGrande1994,

abstract = {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.},

author = {De Grande-De Kimpe, Nicole, Navarro, Samuel},

journal = {Publicacions Matemàtiques},

keywords = {Espacios de Banach; Espacios localmente convexos; Espacio de Hausdorff; Espacio topológico; field with a non-trivial, non-Archimedean valuation; vector space of the bounded continuous functions; strict topology; nuclear in the non- Archimedean sense},

language = {eng},

number = {1},

pages = {187-194},

title = {The non-archimedian space BC(X) with the strict topology.},

url = {http://eudml.org/doc/41198},

volume = {38},

year = {1994},

}

TY - JOUR

AU - De Grande-De Kimpe, Nicole

AU - Navarro, Samuel

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

JO - Publicacions Matemàtiques

PY - 1994

VL - 38

IS - 1

SP - 187

EP - 194

AB - 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.

LA - eng

KW - Espacios de Banach; Espacios localmente convexos; Espacio de Hausdorff; Espacio topológico; field with a non-trivial, non-Archimedean valuation; vector space of the bounded continuous functions; strict topology; nuclear in the non- Archimedean sense

UR - http://eudml.org/doc/41198

ER -

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