Unitary Group and Spectral Types

Related lectures (32)

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Covers the representation theory of unitary minimal models and the Virasoro algebra.

Explores eigenvalue problems, eigenbasis, spectral theorem, and properties of normal operators.

Explores the matrix representation of operators and basis transformation in linear algebra.

Covers the concept of outer measure and properties of measurable sets.

Covers the criteria for operators to be self-adjoint and the Friedrichs extension theorem.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.

Explores the adjoint of linear operators on inner product spaces, including self-adjoint, unitary, and normal operators.

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.

Explores the properties of the spectrum of an operator in L(H), including compactness and spectral radius.