Media Summary: Proof of the Banach-Alaoglu-Bourbaki theorem on compactness of the closed unit ball of a dual space in the weak* topology. Two exercises on the open mapping theorem and one exercise on a sequence of linear This is a lecture from Dr Feinstein's 4th-year module G14FUN
Math400 Functional Analysis Section 3 2 The Uniform Boundedness Principle - Detailed Analysis & Overview
Proof of the Banach-Alaoglu-Bourbaki theorem on compactness of the closed unit ball of a dual space in the weak* topology. Two exercises on the open mapping theorem and one exercise on a sequence of linear This is a lecture from Dr Feinstein's 4th-year module G14FUN Weak compactness and weak sequential compactness. Exercise 1 is a simple application of the Hahn-Banach theorem in the plane. Exercise Uniform boundedness principle and theorems. Functional analysis
