The numerical radius of Lipschitz operators on Banach spaces
Volume 209 / 2012
Studia Mathematica 209 (2012), 43-52
MSC: Primary 46B20; Secondary 47A12.
DOI: 10.4064/sm209-1-4
Abstract
We study the numerical radius of Lipschitz operators on Banach spaces. We give its basic properties. Our main result is a characterization of finite-dimensional real Banach spaces with Lipschitz numerical index $1$. We also explicitly compute the Lipschitz numerical index of some classical Banach spaces.
