Functional Analysis (L.7) (851G1)

15 credits, Level 7 (Masters)

Autumn teaching

In this module, you will study:

• banach spaces, Banach fixed-point theorem, Baire's Theorem.
• bounded linear operators and on Banach spaces, continuous linear functionals, Banach-Steinhaus Uniform Boundedness Principle.
• open Mapping and Closed Graph Theorems, Hahn-Banach Theorem.
• Hilbert spaces, orthogonal expansions, Riesz Representation Theorem.

We regularly review our modules to incorporate student feedback, staff expertise, as well as the latest research and teaching methodology. We’re planning to run these modules in the academic year 2026/27. However, there may be changes to these modules in response to feedback, staff availability, student demand or updates to our curriculum.

We’ll make sure to let you know of any material changes to modules at the earliest opportunity.

Courses

This module is offered on the following courses:

• Mathematics (research placement) MMath
• Mathematics MMath
• Mathematics with Data Science MMath
• Mathematics with Economics MMath
• Mathematics with Finance MMath