Barrelled Linearly Topologized Modules Over a Discrete Valuation Ring
- Dinamérico P. Pombo Jr
- Patricia Couto G. Mauro
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.- Full Text:
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- DOI:10.5539/jmr.v12n1p69
This work is licensed under a Creative Commons Attribution 4.0 License.
- ISSN(Print): 1916-9795
- ISSN(Online): 1916-9809
- Started: 2009
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