Functional Analysis (MATH3402)
Course level
Undergraduate
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Class hours
Lecture 3 Hours/ Week
Tutorial 1 Hour/ Week
3L1T
Prerequisite
(MATH2400 or MATH2401) + (MATH2301 or MATH2000 or MATH2001)
Assessment methods
Examination, assignments
Course enquiries
Dr Ramiro Lafuente (r.lafuente@uq.edu.au)
Study Abroad
This course is pre-approved for Study Abroad and Exchange students.
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
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.