The Stone-Weierstrass Theorem

Explore the fundamental Stone-Weierstrass theorem in this 31-minute lecture from NPTEL-NOC IITM. Delve into the intricacies of this important mathematical concept, which plays a crucial role in functional analysis and approximation theory. Gain a deeper understanding of how this theorem relates to continuous functions on compact spaces and its applications in various areas of mathematics.

9.1 The Stone--Weierstrass theorem