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.
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Sciendo
2012-12-01
|
Series: | Formalized Mathematics |
Online Access: | https://doi.org/10.2478/v10037-012-0032-y |