Winter 2009 Math 646
What, When, and Where:
Course Description:
Functional Analysis and Applications
Text:
Lectures:
TuTh 9:30-10:45a 126 TMCB
Office Hours:
TuTh 5:00-5:50p 306 TMCB
Grading Scheme:
100% Homework Assignments
Course Schedule: (subject to change)
Jan 13 Topology Review
Jan 15 Weak and weak-* topologies
Jan 20 Banach-Alaoglu Theorem
Jan 22 Duals and Convexity
Jan 27 Reflexive Spaces
Jan 29 Krein-Milman theorem
Feb 03 Stone Weierstrass Theorem
Feb 05 Adjoint Operators on a Banach Space
Feb 10 Compact Operators on a Banach Space
Feb 12 Compact Operators on a Banach Space
Feb 17 No Class--Holiday
Feb 19 Ascoli-Arzela and Finite Rank Operators
Feb 24 Banach Algebras I
Feb 26 Banach Algebras I
Mar 03 Resolvent Calculus I
Mar 05 Resolvent Calculus II
Mar 10 Resolvent Calculus III
Mar 12 Spectrum in a Banach Algebra I
Mar 17 Schecter Talk
Mar 19 Spectrum in a Banach Algebra II
Assignments:
Assignment #1 4.3 # 3,5,7 and 5.1 # 9,10
Assignment #2 6.1 # 1,6 and 6.3 # 1,2,4