G14FUN - Functional Analysis
G14FUN - Functional Analysis (University of Nottingham). This is a collection of video lectures taught by Dr. Joel Feinstein. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include: norm topology and topological isomorphism; boundedness of operators; compactness and finite dimensionality; extension of functionals; weak*-compactness; sequence spaces and duality; and basic properties of Banach algebras. (from unow.nottingham.ac.uk)
View Resource. Download Resource. The complete set of videos and lecture notes can be viewed online or downloaded as a zip file. As taught Autumn semester 2010. Dr Joel Feinstein, School of Mathematical Sciences.