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

De 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 -