Lecture
This lecture covers the concept of equivalent norms in a vector space, exploring the relationship between different norms and their continuity properties. The instructor discusses the uniform continuity of norms on R, the verification of norm properties, and the equivalence of norms such as ||.||1, ||.||∞, and ||.||2. Various proofs are presented to demonstrate the equivalence of norms, providing insights into the mathematical foundations of norm theory.