P-adic Spaces of Continuous Functions II
Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 2, pp. 169-188.

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 o -barrelled, polarly -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.

DOI : 10.5802/ambp.246
Classification : 46S10, 46G10
Mots-clés : Non-Archimedean fields, zero-dimensional spaces, locally convex spaces
Katsaras, Athanasios 1

1 Department of Mathematics University of Ioannina Ioannina, 45110 Greece
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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/articles/10.5802/ambp.246/

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