Lecture

Common Orthonormal Eigenbasis to Normal Commuting Operators

In course

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Description

This lecture focuses on the condition for the existence of a common orthonormal eigenbasis to a set of two or more normal operators. It covers the proof that if two normal operators commute, there exists a common orthonormal eigenbasis. The lecture also discusses the generalization of this condition to an arbitrary number of normal operators.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_f0oiofdt

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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