Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the Banach-Steinhaus and Closed Graph Theorem. It discusses the convergence of sequences in different norms, the density of operators, and the implications of the Closed Graph Theorem. The proof involves showing the existence of a subsequence that converges to a specific limit. Special attention is given to the properties of bounded operators and their applications in Hilbert spaces.