Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Linear Algebra BasicsCovers the basics of linear algebra, emphasizing the identification of subspaces through key properties.
Interpolation SpacesExplores interpolation spaces between Banach spaces and real interpolation spaces.
Tangent Spaces and SubmersionsCovers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.
Linear Algebra: Lecture NotesCovers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.