Banach spaces and bounded linear operators, Hahn-Banach extension and separation, dual spaces, bounded inverse theorems, uniform boundedness principle, applications. Compact operators. Prerequisite(s): MATH 4007 or permission of the School.Also offered at the graduate level, with different requirements, as MATH 5008, for which additional credit is precluded.Lectures three hours a week.
Banach spaces and bounded linear operators, Hahn-Banach extension and separation, dual spaces, bounded inverse theorems, uniform boundedness principle, applications. Compact operators. Prerequisite(s): MATH 4007 or permission of the School.Also offered at the graduate level, with different requirements, as MATH 5008, for which additional credit is precluded.Lectures three hours a week.