Infinite-dimensional geometry Chapter 1: Calculus in locally convex spaces
Channel: Alexander Schmeding
Date: 2020-09-17

In this lecture we discuss differentiability of curves taking values in topological vector spaces. As this concept is too weak, it will turn out that the setting needs to be strengthened to locally convex spaces

Small typo on the last slide: the metric should be defined via the integral of the pth power not as stated on the slide just the difference of the absolute values

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/).