Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Proof of Weyl's TheoremExplores the proof of Weyl's theorem, focusing on discrete spectrum, ground states, and potential energy continuity.
Integral Properties on Closed PavésExplores the integrability of continuous functions on closed pavés and the properties of their integrals, including boundedness and Darboux sums.