Lectures related to Vector Spaces and Convergence

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

Covers distributions, interpolation spaces, convergence, and the concept of dual spaces.

Explores linear operators, boundedness, and convergence in Banach spaces, focusing on Cauchy sequences and operator identification.

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

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

Explores linear operations, convergence, sequences, and compact sets in mathematical analysis.

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

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