The Mackey topology in linearly topologized modules

Subject Areas : Functional analysis

D. P. Pombo Jr. ¹ , P. C. G. Mauro ²

1 - Instituto de Matem\'{a}tica e Estat\'{i}stica, Universidade Federal Fluminense, Niter\'{o}i, RJ Brasil
2 - Centro Interdisciplinar de Ci\^{e}ncias da Natureza, Universidade Federal da Integra\c{c}\~{a}o Latino-Americana, Foz do Igua\c{c}u, PR Brasil

Received: 2023-04-07 Accepted : 2023-05-07 Published : 2023-06-01

Keywords: linearly topologized modules, Complete discrete valuation rings, Mackey topology,

Abstract :

‎The Mackey topology in the context of Hausdorff linearly topologized modules over a complete discrete valuation ring is introduced and characterizations of this concept are established‎. ‎Moreover the interplay between the concept of Mackey topology and two special classes of linearly topologized modules is discussed‎.

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