Course level

Postgraduate Coursework

Faculty

Science

School

Mathematics & Physics School

Units

2

Duration

One Semester

Class hours

Lecture 3 Hours/ Week
Tutorial 1 Hour/ Week
3L, 1T

Incompatible

MATH3402, MATH7404, MATH4404

Prerequisite

Knowledge equivalent to (MATH7400 or MATH7407) + (MATH7307 or MATH7000)

Assessment methods

Examination

Assignment

Course enquiries

Dr Ramiro Lafuente (r.lafuente@uq.edu.au)

Current course offerings

Course offerings Location Mode Course Profile
Semester 1, 2024 (19/02/2024 - 15/06/2024) 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, 2023 (20/02/2023 - 17/06/2023) External External Course Profile
Semester 1, 2023 (20/02/2023 - 17/06/2023) St Lucia In Person Course Profile
Semester 1, 2022 (21/02/2022 - 21/06/2022) St Lucia External Course Profile
Semester 1, 2022 (21/02/2022 - 21/06/2022) St Lucia Internal Course Profile