Science Home >
Math and Stats Home
>
All Events
>
2017
>
February
> Operator Algebras Seminar (Samir Raouafi)

Operator Algebra Seminars
Fri., Feb. 17, 2017 10:45 a.m. - Fri., Feb. 17, 2017 12:00 p.m.
Location: RIC 215
Speaker: Samir Raouafi
Title: Crouzeix's Conjecture
Abstract:
Crouzeix's conjecture is an interesting open problem in operator theory. The conjecture states that the numerical range W(A) of any bounded linear operator A in a complex Hilbert space is a (complete) 2-spectral set for A. Two weeks ago, Crouzeix and Palencia proved that W(A) is (complete) 1 + sqrt(2) spectral set. We will discuss this proof and some applications.