MTH 731 (Fall 2018): Functional Analysis I

Instructor: Hanfeng Li

Office: 104 Mathematics Building.     Phone: 645-8762

Office Hours: M 3-4pm, W 2-3pm

Lectures: TR 11:00am-12:20pm

Room: 235 Math Building

Textbook

           Functional Analsysis, Spectral Theory, and Applications     by M.Einsiedler and T.Ward, GTM 276.

Course Description

This is the first semester of a one-year course. Functional analysis studies normded linear spaces and more generally locally convex topological vector spaces. It has applications in various fields of mathematics. We shall discuss Hilbert spaces, Banach spaces, their duals, and linear operators on them.

Homework and Exams

No exams. There will be two or three homework sets. The grades are based on the homework.

Prerequisite

MTH 534 and MTH 625 or equivalent.