Courses
MATH4606 Functional Analysis (3 units)
- Prerequisite:
- MATH2207 Linear Algebra and MATH2215 Mathematical Analysis or MATH2217 Advanced Calculus II or consent of instructor
This course aims at familiarizing the student with the basic concepts, principles and methods of functional analysis and its applications. The notions of metric spaces, fixed point theorems, Banach spaces, Hilbert spaces, continuous linear operator, the Hahn-Banach extension theorem, the uniform boundedness principle and the open mapping theorem, and applications of the above topics will be introduced.