Interlude: Bastiani calculus vs. other calculi
Channel: Alexander Schmeding
Date: 2020-09-17

We compare Bastiani calculus to the notion of Frechet differentiability on normed spaces and the convenient calculus on Mackey complete locally convex spaces.

More information on different calculi beyond Banach spaces:
H.H. Keller: Differential calculus in locally convex spaces

A. Stacey: Comparative Smootheology (see https://arxiv.org/pdf/0802.2225.pdf)

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/).