P-adic Spaces of Continuous Functions I
Katsaras, Athanasios
Annales mathématiques Blaise Pascal, Tome 15 (2008), p. 109-133 / Harvested from Numdam
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Properties of the so called θ o -complete topological spaces are investigated. Also, necessary and sufficient conditions are given so that the space C(X,E) of all continuous functions, from a zero-dimensional topological space X to a non-Archimedean locally convex space E, equipped with the topology of uniform convergence on the compact subsets of X to be polarly barrelled or polarly quasi-barrelled.

Publié le : 2008-01-01
DOI : https://doi.org/10.5802/ambp.242
Classification:  46S10,  46G10 
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     author = {Katsaras, Athanasios},
     title = {P-adic Spaces of Continuous Functions I},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {15},
     year = {2008},
     pages = {109-133},
     doi = {10.5802/ambp.242},
     zbl = {1158.46050},
     mrnumber = {2418016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2008__15_1_109_0}
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Katsaras, Athanasios. P-adic Spaces of Continuous Functions I. Annales mathématiques Blaise Pascal, Tome 15 (2008) pp. 109-133. doi : 10.5802/ambp.242. http://gdmltest.u-ga.fr/item/AMBP_2008__15_1_109_0/

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