The generalized numerical radius of a product of operators
Abstract
Although the numerical radius is not sub-multiplicative, we tickle this problem by showing a weak sub-multiplicativity behaviour. This will be discussed for the usual numerical radius, and the recently defined generalized numerical radius for any unitarily invariant norm, defined on an ideal in the C∗−algebra of bounded linear operators on a complex Hilbert space.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Approximation Theory and Sequence Spaces
Advanced Banach Space Theory
Publication details
- Journal / source
- Linear and Multilinear Algebra
- Publisher
- Informa UK Limited
- Volume
- 74
- Issue
- 9
- Pages
- 1215–1234
- Publication date
- 27 May 2026
- Language
- EN