MATH5615 Banach and Operator Algebras

MATH5615 is a Honours and Postgraduate coursework Mathematics course. See the course overview below.

Units of credit: 6

Prerequisites: Real Analysis, Functional Analysis.

Cycle of offering: Term 2 

Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.

More information: This recent course handout (pdf) contains information about course objectives, assessment, course materials and the syllabus. 

The Online Handbook entry contains information about the course. (The timetable is only up-to-date if the course is being offered this year.) 

If you are currently enrolled in MATH5615, you can log into UNSW Moodle for this course.

Course Overview

The course is aimed at proving the spectral theorem for normal operators on Hilbert space. Along the way, you will be exposed to many ideas and tools that are useful in other branches of analysis and mathematical physics, including spectrum, commutative Banach algebras, the Gelfand transform, C* algebras and their representations.