The non-archimedian space BC(X) with the strict topology.
De Grande-De Kimpe, Nicole ; Navarro, Samuel
Publicacions Matemàtiques, Tome 38 (1994), p. 187-194 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1994-01-01
DMLE-ID : 3742 
@article{urn:eudml:doc:41198,
     title = {The non-archimedian space BC(X) with the strict topology.},
     journal = {Publicacions Matem\`atiques},
     volume = {38},
     year = {1994},
     pages = {187-194},
     mrnumber = {MR1291960},
     zbl = {0831.46082},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41198}
}

De Grande-De Kimpe, Nicole; Navarro, Samuel. The non-archimedian space BC(X) with the strict topology.. Publicacions Matemàtiques, Tome 38 (1994) pp. 187-194. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41198/