A really simple elementary proof of the uniform boundedness principle in F-spaces

José L. Ansorena

Published: 2024-06-18

2024

A really simple elementary proof of the uniform boundedness principle in F-spaces

José L. Ansorena

Abstract

We give a proof of the uniform boundedness principle for linear continuous maps from F-spaces into topological vector spaces which is elementary and also quite simple.

Keywords:

uniform boundedness , Baire category , metric linear space , topological vector space

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Ansorena, J. L. (2024). A really simple elementary proof of the uniform boundedness principle in F-spaces. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/17631

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2024
Published: 2024-01-18

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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