MA543: Functional Analysis, (July to Nov, 2019)
Functional analysis is roughly mixing linear structure with topological structure on some reasonable sets. As an effect, there always occurred some inherent problems. In this course, we discuss some of the fundamental results arisen while mixing the above two structures. Namely, Hahn-Banach theorem, uniform boundedness principle, open mapping theorem, and closed graph theorem. We apply these results to study the topology of dual spaces and spectrum of the certain linear transformations.
Assignments: Assignment 0, Assignment 1, Assignment 2, Assignment 3, Asignment 4
Lecture notes:
Exams: Quiz-I, MidSem, Quiz-II, EndSem