Barrelled Linearly Topologized Modules Over a Discrete Valuation Ring

Dinamérico P. Pombo and Patricia Couto G. Mauro

Journal of Mathematics Research, 2020, vol. 12, issue 1, 69

Abstract: In this paper barrelled linearly topologized modules over an arbitrary discrete valuation ring are introduced. A general form of the Banach-Steinhaus theorem for continuous linear mappings on barrelled linearly topologized modules is established and some consequences of it are derived.

Date: 2020
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