Course Description
Metric spaces: contraction mapping principle, Tietze extension theorem, Ascoli-Arzela lemma, Baire category theorem, Stone-Weierstrass theorem, LP spaces. Banach spaces: linear operators, Hahn-Banach theorem, open mapping and closed graph theorems. Hilbert spaces: projection theorem, Riesz representation theorem, Lax-Milgram theorem, complete orthonormal sets.
Spring 2026
Instructors
Meeting Patterns
Classes Start:
January 12, 2026
Classes End:
April 28, 2026
Location:
01220 SAS Hall
Class Days:
M W F
Class Start Time:
10:40am
Class End Time:
11:30am
Class Type:
Lecture
Credits:
3.00
Restrictions:
Prerequisite: MA 426