ON AUTOMATIC BOUNDEDNESS OF LINEAR OPERATORS ON CONVEX BORNOLOGICAL SPACES

Authors

  • Abdelaziz Tajmouati Sidi Mohamed Ben Abdellah University - Faculty of Sciences

Keywords:

bornological vector space, separating space, Mackey convergence, linear operator, automatic boundedness

Abstract

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).

Cover of n°32 Italian Journal of Pure and Applied Mathematics

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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

Issue

N°32 - August 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Abdelaziz Tajmouati

Creative Commons License

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)