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Operator Algebra Seminars

Fri., Oct. 14, 2016 10:00 a.m. - Fri., Oct. 14, 2016 12:00 p.m.

Location: RIC 215

Speaker: Samir Raouafi

Title: Numerical Range and Mapping Theorems, I

Abstract:

The numerical range of an operator $A$ is a remarkable region of the complex plane. It captures information about the spectrum and the behavior of $A$. In this first lecture, we will review the basic properties of the numerical range and discuss some results about its convexity and the geometry of its boundary.