## 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**)

Lecture 18b - Isomorphisms |

Go to **the Course Home** or watch other lectures: