Necessary and sufficient conditions are given so that the space of all continuous functions from a zero-dimensional topological space to a non-Archimedean locally convex space , equipped with the topology of uniform convergence on the compact subsets of , to be polarly absolutely quasi-barrelled, polarly -barrelled, polarly -barrelled or polarly -barrelled. Also, tensor products of spaces of continuous functions as well as tensor products of certain -valued measures are investigated.
Classification : 46S10, 46G10
Mots clés : Non-Archimedean fields, zero-dimensional spaces, locally convex spaces
@article{AMBP_2008__15_2_169_0, author = {Katsaras, Athanasios}, title = {P-adic Spaces of Continuous Functions II}, journal = {Annales Math\'ematiques Blaise Pascal}, pages = {169--188}, publisher = {Annales math\'ematiques Blaise Pascal}, volume = {15}, number = {2}, year = {2008}, doi = {10.5802/ambp.246}, mrnumber = {2468042}, zbl = {1166.46042}, language = {en}, url = {www.numdam.org/item/AMBP_2008__15_2_169_0/} }
Katsaras, Athanasios. P-adic Spaces of Continuous Functions II. Annales Mathématiques Blaise Pascal, Tome 15 (2008) no. 2, pp. 169-188. doi : 10.5802/ambp.246. http://www.numdam.org/item/AMBP_2008__15_2_169_0/
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