Completeness and Banach Spaces (IFA21 Video 4)

Complete lecture notes and slides of the lecture are available at: https://paunonenmath.com/teaching.html Topics of the lecture: Convergence of sequences Cauchy sequences Completeness and Banach spaces Banach spaces of sequences Part of the online course "Introduction to Functional Analysis" at Tampere University, January--February 2021 (Week 2, Video 4). Full "Introduction to Functional Analysis" series (19 videos):    • Introduction to Functional Analysis video ...   Lecture given by Lassi Paunonen (Associate professor in Mathematics, https://paunonenmath.com/)