<abstract xmlns="http://www.w3.org/1999/xhtml">

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

A Really Simple Elementary Proof of the Uniform Boundedness Principle in <italic>F</italic> -Spaces

Department of Mathematics and Computer Sciences

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

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...

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

Publié en ligne: 18 juin 2024

Pages: -

Reçu: 28 mars 2024

Accepté: 03 juin 2024

DOI: https://doi.org/10.2478/amsil-2024-0017

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

© 2024 José L. Ansorena, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Publié en ligne: 18 juin 2024

Pages: -

Reçu: 28 mars 2024

Accepté: 03 juin 2024

DOI: https://doi.org/10.2478/amsil-2024-0017

Mots clésuniform boundedness, Baire category, metric linear space, topological vector space

© 2024 José L. Ansorena, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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