Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Signal RepresentationsCovers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Distributional DerivativesExplores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.
Relations in Computer ScienceExplores the properties of relations in computer science, including equivalence relations and the partition of a set.
Theorems in AnalysisCovers the Meyers-Serrin theorem in analysis, discussing the conditions for functions in different spaces.