No CrossRef data available.
Article contents
Denseness of operators which attain their numerical radius
Published online by Cambridge University Press: 17 April 2009
Extract
We show that a bounded linear operator on a dual Banach space X may be perturbed by a compact operator of arbitrarily small norm to yield an operator which attains its numerical radius provided the weak star and norm topologies coincide on the unit sphere of X.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1993