P-adic Spaces of Continuous Functions II
Katsaras, Athanasios
Annales mathématiques Blaise Pascal, Tome 15 (2008), p. 169-188 / Harvested from Numdam
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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 absolutely quasi-barrelled, polarly ℵ o -barrelled, polarly ℓ ∞ -barrelled or polarly c o -barrelled. Also, tensor products of spaces of continuous functions as well as tensor products of certain E ′ -valued measures are investigated.

Publié le : 2008-01-01
DOI : https://doi.org/10.5802/ambp.246
Classification:  46S10,  46G10 
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     author = {Katsaras, Athanasios},
     title = {P-adic Spaces of Continuous Functions II},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {15},
     year = {2008},
     pages = {169-188},
     doi = {10.5802/ambp.246},
     zbl = {1166.46042},
     mrnumber = {2468042},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2008__15_2_169_0}
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Katsaras, Athanasios. P-adic Spaces of Continuous Functions II. Annales mathématiques Blaise Pascal, Tome 15 (2008) pp. 169-188. doi : 10.5802/ambp.246. http://gdmltest.u-ga.fr/item/AMBP_2008__15_2_169_0/

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