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{http://isa-afp.org/entries/Banach_Steinhaus.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License