Lecture

Functional Analysis: Baire's Theorem

Description

This lecture covers the proof of Baire's Theorem, consequences of the Baire Category Theorem, terminology related to metric spaces, and the principle of uniform boundedness in Banach spaces. It also discusses the strong and weak convergence of sequences in Banach spaces, with a focus on the Banach-Steinhaus Theorem.

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Official source

https://mediaspace.epfl.ch/media/0_fa1l206z

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Topology: General topology

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