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Tensor Products of Non-Archimedean Weighted Spaces of Continuous Functions
Authors:Katsaras  A. K.  Beloyiannis  A.
Affiliation:(1) Department of Mathematics, University of Ioannina, P.O. Box 1186, 451 10 Ioannina, Greece
Abstract:It is shown that the completion of the tensor product of two non-Archimedean weighted spaces of continuous functions is topologically isomorphic to another weighted space. Several applications of this result are given.
Keywords:Nachbin families  weighted spaces  non-Archimedean seminorms  tensor product  strict topology
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