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Course

MATH-302: Functional analysis I

Summary

Concepts de base de l'analyse fonctionnelle linéaire: opérateurs bornés, opérateurs compacts, théorie spectrale pour les opérateurs symétriques et compacts, le théorème de Hahn-Banach, les théorèmes de l'application ouverte et du graphe fermé.

Lectures

Instructor

Boris Buffoni

Official source

https://edu.epfl.ch/coursebook/en/functional-analysis-i-MATH-302

Moodle Page

http://go.epfl.ch/MATH-302

About this result

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Summary

Lectures

Instructor

Boris Buffoni

Official source

https://edu.epfl.ch/coursebook/en/functional-analysis-i-MATH-302

Moodle Page

http://go.epfl.ch/MATH-302

About this result

Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Topology: General topology

Lectures in this course (17)

Functional Analysis I: Spectral Theorem Log in to Mediaspace to watch this video

Covers the spectral theorem, orthanormal sequences, and bounded linear operators in Hilbert spaces.

Dual Spaces: Definitions and Properties Log in to Mediaspace to watch this video

Covers the definitions and properties of dual spaces and linear operators.

Functional Analysis I: Norms and Bounded Operators Log in to Mediaspace to watch this video

Explores norms and bounded operators in functional analysis, demonstrating their properties and applications.

Linear Operators: Boundedness and Convergence Log in to Mediaspace to watch this video

Explores linear operators, boundedness, and convergence in Banach spaces, focusing on Cauchy sequences and operator identification.

Functional Analysis I: November 18, 2021 Log in to Mediaspace to watch this video

Covers partially ordered sets, maximal elements, upper bounds, and the Zorn lemma in functional analysis.

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