Banach’s Continuous Inverse Theorem and Closed Graph Theorem

In this article we formalize one of the most important theorems of linear operator theory - the Closed Graph Theorem commonly used in a standard text book such as [10] in Chapter 24.3. It states that a surjective closed linear operator between Banach spaces is bounded.

Bibliographic Details
Main Authors: Sakurai Hideki, Okazaki Hiroyuki, Shidama Yasunari
Format: Article
Language:English
Published: Sciendo 2012-12-01
Series:Formalized Mathematics
Online Access:https://doi.org/10.2478/v10037-012-0032-y