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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
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.