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Banach-Steinhaus Theorem
| Title: | Banach-Steinhaus Theorem |
| Authors: | Dominique Unruh and Jose Manuel Rodriguez Caballero |
| Submission date: | 2020-05-02 |
| Abstract: | We formalize in Isabelle/HOL a result due to S. Banach and H. Steinhaus known as the Banach-Steinhaus theorem or Uniform boundedness principle: a pointwise-bounded family of continuous linear operators from a Banach space to a normed space is uniformly bounded. Our approach is an adaptation to Isabelle/HOL of a proof due to A. Sokal. |
| BibTeX: |
@article{Banach_Steinhaus-AFP,
author = {Dominique Unruh and Jose Manuel Rodriguez Caballero},
title = {Banach-Steinhaus Theorem},
journal = {Archive of Formal Proofs},
month = may,
year = 2020,
note = {\url{https://isa-afp.org/entries/Banach_Steinhaus.html},
Formal proof development},
ISSN = {2150-914x},
}
|
| License: | BSD License |
| Status: [ok] | This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations. |
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