Introduction to Functional Analysis

Undergraduate

Hilbert, normed, and Banach spaces; geometry of Hilbert space, Riesz-Fischer theorem; dual space; Hahn-Banach theorem; Riesz representation theorems; linear operators; Baire category theorem; uniform boundedness, open mapping, and closed graph theorems. After MATH 3200 , or after MATH 3050 with permission of instructor. QR TTh 11:35am-12:50pm