Hilbertian Bounded Operators

Related lectures (31)

Page 2 of 4

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Explores the definition and properties of the functional calculus for self-adjoint and bounded operators.

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

Explores the spectral decomposition of self-adjoint operators on Hilbert spaces.

Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.

Covers the definitions and properties of dual spaces and linear operators.

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.

Covers the review of function spaces and explores the concept of compact operators.

Explores vector spaces, linear transformations, matrices, eigenvalues, inner products, and operators.