Lecture

Theory of Bounded Operators on Hilbert Space

In course

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Description

This lecture covers the theory of bounded operators on Hilbert space, including adjoint and basic properties, self-adjointness, isometries, and unitaries. Examples such as left- and right-shift operators on ℓ² are discussed, along with definitions for unbounded operators, extensions, symmetric operators, adjoints, and self-adjoint operators. The lecture also explores momentum on the interval and the concept that generators of translation groups are self-adjoint.

Official source

https://mediaspace.epfl.ch/media/0_f6coj0to

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Algebra: Linear algebra, Representation theory

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