Abstract
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 N 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.
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