Lecture

Properties of Complete Spaces

In course

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Description

This lecture covers the properties of complete spaces, including the definition of completeness, expectations for simple functions, and the embedding of spaces. It also discusses the completion of subsets, norm properties, and Holder's inequality. The instructor demonstrates the extension of maps to continuous linear maps and the proof of Holder's inequality. The lecture concludes with discussions on uniform integrability, convergence theorems, and Fatou's lemma.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_a179dhdi

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis, Measure theory

Topology: General topology

Logic

Classical logic: First-order logic

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