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A Really Simple Elementary Proof of the Uniform Boundedness Principle in F-spaces Cover

A Really Simple Elementary Proof of the Uniform Boundedness Principle in F-spaces

Open Access
|Jun 2024

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.

DOI: https://doi.org/10.2478/amsil-2024-0017 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 42 - 45
Submitted on: Mar 28, 2024
Accepted on: Jun 3, 2024
Published on: Jun 7, 2024
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:

© 2024 José L. Ansorena, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.