Logo Università degli Studi di Milano



 
 
Eventi  

Seminario / Gorkin

SEMINARIO MATEMATICO E FISICO DI MILANO

AVVISO DI CONFERENZA

Lunedì 20 marzo 2017, alle ore 16.00 precise
presso la Sala Rappresentanza del Dipartimento di Matematica
dell'Università di Milano
in via Saldini 50

Prof. Pamela Gorkin
Bucknell University

terra' la conferenza

"WHAT IS AN ENVELOPE? OPERATOR THEORY AND NUMERICAL RANGES"

Abstract:

The numerical range of an n × n matrix A is defined by

W(A) = { <Ax, x> : x ∈ C^n, ||x|| = 1 }

We give a brief overview of the numerical range of an operator and
discuss several open questions that motivate this study. We will discuss
the geometry of the numerical range, focusing on a particular class of
operators known as compressions of the shift operator. We provide a
discussion of algorithms for computing the numerical ranges of these
operators as well as several results describing when the numerical range
is elliptical.

13 marzo 2017
Torna ad inizio pagina