Functional Analysis (MATH7432)
Information valid for Semester 1, 2025
Course level
Postgraduate Coursework
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Attendance mode
In Person
Class hours
Lecture 3 Hours/ Week
Practical 1 Hour/ Week
3L 1P
Incompatible
MATH3402, MATH7404, MATH4404
Prerequisite
Knowledge equivalent to (MATH7400 or MATH7407) + (MATH7307 or MATH7000)
Assessment methods
Examination
Assignment
Course enquiries
Associate Professor Artem Pulemotov (Semester 1, Regular, St Lucia, In person)
Associate Professor Artem Pulemotov
Current course offerings
Course offerings | Location | Mode | Course Profile |
Semester 1, 2025 (24/02/2025 - 21/06/2025) | St Lucia | In Person | Course Profile |
Please Note: Course profiles marked as not available may still be in development.
Course description
This course will be available to study from 2022. Topological spaces: compactness, continuity, separation axioms, Baire category theorem. Classical linear functional analysis: Banach and Hilbert spaces, linear functionals, L^p spaces (as completions), Riesz representation theorem, uniform boundedness principle, dual spaces, weak convergence, Hahn-Banach theorem, bounded operators, open mapping theorem, spectrum and resolvent.
Archived offerings
Course offerings | Location | Mode | Course Profile |
Semester 1, 2024 (19/02/2024 - 15/06/2024) | St Lucia | In Person | Course Profile |
Semester 1, 2023 (20/02/2023 - 17/06/2023) | St Lucia | In Person | Course Profile |
Semester 1, 2023 (20/02/2023 - 17/06/2023) | External | External | Course Profile |
Semester 1, 2022 (21/02/2022 - 21/06/2022) | St Lucia | Internal | Course Profile |
Semester 1, 2022 (21/02/2022 - 21/06/2022) | St Lucia | External | Course Profile |