ON AUTOMATIC BOUNDEDNESS OF LINEAR OPERATORS ON CONVEX BORNOLOGICAL SPACES
Keywords:
bornological vector space, separating space, Mackey convergence, linear operator, automatic boundednessAbstract
In this paper, using the notion of separating space of a linear operator defined on a bornological vector space introduced in [5], we give some useful criteria to study the automatic boundedness of operators. In particular, we give necessary and sufficient conditions in order that operators should be bounded (Theorem 3.1 and Theorem 4.1).
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Published
2014-08-22
How to Cite
Tajmouati, A. (2014). ON AUTOMATIC BOUNDEDNESS OF LINEAR OPERATORS ON CONVEX BORNOLOGICAL SPACES. Italian Journal of Pure and Applied Mathematics, 32, 155–164. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6225
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Articoli - Forum Editrice
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Copyright (c) 2014 Abdelaziz Tajmouati
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
