Interlude: Bastiani calculus vs. other calculi

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

This is part of the course MAT331: Topics in Analysis at the University of Bergen in Fall 2020.