Office: 4-112 Mathematics Building
Dept. Phone: (631)-632-8290
MWF 11:00am to 11:53am, Math 4-130
Scheduled Final Exam Time 2:15pm-5:00pm, Tuesday, December 17
We will follow the book `Functional Analysis' by Peter Lax, published
by Wiley. There is a wealth of material in the book and ideally you
should know all of it. In practice, however, we shall have to make
some choices about what to cover. Some of the early sections on
linear algebra, Hahn-Banach, Hilbert spaces, uniform boundedness, should
be familiar to you from MAT 544 and 550, so I plan to only review these.
Topics I hope to cover in greater depth include:
--- weak convergence and its applications
--- convex sets and extreme points
--- Banach algebras
--- Compact maps and operators
--- Fredholm's theory
--- Spectral theory: Symmetric, Normal, Unitary, Self-Adjoint
--- Groups of Unitary Operators
--- Scattering therory
Grades will be based problem sets, a midterm and final.
Problem Set 1: 1-7, 4-2, 5-3, 5-7, 5-8. Due Friday, Sept 27.
Problem Set 1: 6-7, 6-8, 8-3, 8-6, 10-2, 10-5 Due Friday, Oct 11.
Send the lecturer (C. Bishop) email at:
Link to history of mathematics There are a lot of iteresting articles here. If you know of other math related sites I should link to, let me know.