Metric and Function Spaces
What an amazing course this is! Some of the most beautiful (and abstract) math I've seen so far. I took this course at the University of Leeds.
The instructor was Vladimir V. Kisil.
We used lecture notes and the textbook 'Introductory Functional Analysis with Applications' by Kreyszig.
Find my notes here below.
Metric_and_Function_Spaces_Notes.pdf