Banach-Steinhaus Theorem

Dominique Unruh 🌐 📧 and José Manuel Rodríguez Caballero 🌐 📧

May 2, 2020

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.

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.

License

BSD License

Topics

Session Banach_Steinhaus

Used by

Cite

× 
@article{Banach_Steinhaus-AFP,
  author  = {Dominique Unruh and José Manuel Rodríguez 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},
}
Download

Download

× Download latest

Older releases: