Infinite-dimensional geometry 1.2 Bastiani calculus
Channel: Alexander Schmeding
Date: 2020-09-17

In this lecture we discuss differentiability of mappings between (open subsets of) locally convex spaces using directional derivatives. This leads to the so called Bastiani calculus. We discuss elementary properties of differentiable mappins in this setting. For example the chain rule and the rule on partial derivatives is proved.

This is part of the course MAT331: Topics in Analysis at the University of Bergen in Fall 2020. 
This course (and the lecture) was supported by Trond Mohn foundation within the Pure Mathematics in Norway program (https://www.puremath.no/).