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Numerical Ranges in II1 Factors
Published online by Cambridge University Press: 16 March 2017
Abstract
In this paper we generalize the notion of the C-numerical range of a matrix to operators in arbitrary tracial von Neumann algebras. For each self-adjoint operator C, the C-numerical range of such an operator is defined; it is a compact, convex subset of ℂ. We explicitly describe the C-numerical ranges of several operators and classes of operators.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 1 , February 2018 , pp. 31 - 55
- Copyright
- Copyright © Edinburgh Mathematical Society 2018
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