Compact operator on Hilbert space

Related lectures (32)

Page 3 of 4

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

Explores the Fractal Uncertainty Principle, transfer operators, spectral properties, and adapted operators.

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

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Covers resonators, Eigenvalue problem for flexural resonators, and normalization importance.

Introduces linear and bounded operators, compact operators, and the Banach space.

Covers the applications of Segal's Conformal Field Theory in Hilbert spaces.

Explores the dual space of a Hilbert space and weak convergence, focusing on orthonormal bases and separable Hilbert spaces.

Offers a crash course on quantum mechanics, emphasizing self-adjoint operators and quantum information.

Introduces Hilbert operators, covering their properties, C*-algebras, and the Fourier transform's unitarity.