Article ID Journal Published Year Pages File Type
4619725 Journal of Mathematical Analysis and Applications 2010 11 Pages PDF
Abstract

In this work we introduce the concept of convex numerical radius for a continuous and linear operator in a Banach space, which generalizes that of the classical numerical radius. Besides studying some of its properties, we give a version of James's sup theorem in terms of convex numerical radius attaining operators.

Related Topics
Physical Sciences and Engineering Mathematics Analysis