Functional Spaces: Linear Applications

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

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

Covers sublinear functionals, linear functionals extension, and Hahn-Banach theorem.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.