ANALYSIS
SEMINAR

"ON PRODUCTS OF

NORMAL OPERATORS"

By

SERDAR AY

(Bilkent
University)

Abstract: Given two normal bounded operators on a Hilbert space H,
we know that in general their product is not normal, even in the case when H is
finite dimensional. In its full generality, the problem of characterization of
normal operators whose product is also normal remains open. In this talk, we
present some classical results which solve this problem in special cases, and
discuss an example due to I. Kaplansky which shows that this problem is not
"symmetric", namely, there are A,B both normal operators on H which
have product AB normal, but BA not normal. Finally, we talk about our on-going
project on this problem.

Tea and cookies will be served  before
the seminar.

Tea and cookies will be served before the
seminar.

Date: Tuesday,  December 18

Time: 15:40

Place: SAZ 141