Functional Analysis Lecture 2

Hilbert Spaces, Riesz Representation and Radon-Nikodym Theorem

In the second Lecture of Functional Analysis MA 824, IITB, Prof. Mukherjee continued with definition of Hilbert Spaces, some properties, Riesz Representation Theorem and its application to prove Radon-Nikodym Theorem for finite measures. It was left as an exercise to extend the proof to \(\sigma\)-finite measures.

• Lecture 2