Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Functional Analysis ICovers sublinear functionals, linear functionals extension, and Hahn-Banach theorem.
Linear Algebra: Lecture NotesCovers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.