Completions of Normed Spaces (IFA21 Video 6)

Complete lecture notes and slides of the lecture are available at:

Topics of the lecture:
- Definition and basic properties of a completion of a normed space
- The Weierstrass Approximation Theorem
- Completion of the space of polynomials on an interval with respect to the infinity-norm

Part of the online course "Introduction to Functional Analysis" at Tampere University, January--February 2021 (Week 2, Video 6).

Lecture given by