Banach-Steinhaus Theorem

Dominique Unruh 🌐 📧 and José Manuel Rodríguez Caballero 🌐 📧

May 2, 2020

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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.
BSD License

Topics

Theories of Banach_Steinhaus