Lecture
Banach-Steinhaus Theorem
Description
This lecture covers the Banach-Steinhaus and closed graph theorems, focusing on the study of unbounded operators and the search for domains where an operator is self-adjoint. The presentation includes technical results and a lemma for normed spaces. The Banach-Steinhaus theorem is discussed in detail, emphasizing the concept of uniform boundedness and providing a proof by contradiction. The lecture concludes with the convergence of a Cauchy sequence and the implications for operator norms.
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.