P-adic Spaces of Continuous Functions II
Annales Mathématiques Blaise Pascal, Volume 15 (2008) no. 2, p. 169-188

Necessary and sufficient conditions are given so that the space $C\left(X,E\right)$ 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 ${\aleph }_{o}$-barrelled, polarly ${\ell }^{\infty }$-barrelled or polarly ${c}_{o}$-barrelled. Also, tensor products of spaces of continuous functions as well as tensor products of certain ${E}^{\prime }$-valued measures are investigated.

DOI : https://doi.org/10.5802/ambp.246
Classification:  46S10,  46G10
Keywords: 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},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {15},
number = {2},
year = {2008},
pages = {169-188},
doi = {10.5802/ambp.246},
mrnumber = {2468042},
zbl = {1166.46042},
language = {en},
url = {https://ambp.centre-mersenne.org/item/AMBP_2008__15_2_169_0}
}

Katsaras, Athanasios. P-adic Spaces of Continuous Functions II. Annales Mathématiques Blaise Pascal, Volume 15 (2008) no. 2, pp. 169-188. doi : 10.5802/ambp.246. https://ambp.centre-mersenne.org/item/AMBP_2008__15_2_169_0/

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