<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

Publicado en línea: 18 jun 2024

Páginas: -

Recibido: 28 mar 2024

Aceptado: 03 jun 2024

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

Palabras clave
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

Publicado en línea: 18 jun 2024

Páginas: -

Recibido: 28 mar 2024

Aceptado: 03 jun 2024

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

Palabras claveuniform 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.

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