No CrossRef data available.
Article contents
Normal-equivalent operators and operators with dual of scalar-type
Published online by Cambridge University Press: 20 January 2009
Abstract
If T ∈ L(X) is such that T′ is a scalar-type prespectral operator, then Re T′ and Im T′ are both dual operators. It is shown that that the possession of a functional calculus for the continuous functions on the spectrum of T is equivalent to T′ being scalar-type prespectral of class X, thus answering a question of Berkson and Gillespie.
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 2000