Vector Spaces EquivalenceExplores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.
Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Orthogonality and CharactersExplains orthogonality and characters in group representations, including equivalence classes and vector space dimensions.
