Function Spaces and Hilbert Spaces

Related lectures (30)

Page 3 of 3

Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Covers linear algebra in Dirac notation, focusing on vector spaces and quantum bits.

Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explores the space of bandlimited functions, focusing on 1-bandlimited functions as a basis and their representation through sequences.

Explores pre-Hilbertian spaces, focusing on dot product properties and algebraic bases.

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

Explores the postulates of Quantum Mechanics, focusing on states, time evolution, and measurement.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.