Numerical Ranges in II$_1$ Factors
Operator Algebras
2019-02-08 v2 Functional Analysis
Abstract
In this paper, we generalize the notion of the -numerical range of a matrix to operators in arbitrary tracial von Neumann algebras. For each self-adjoint operator , the -numerical range of such an operator is defined; it is a compact, convex subset of . We explicitly describe the -numerical ranges of several operators and classes of operators.
Keywords
Cite
@article{arxiv.1503.05766,
title = {Numerical Ranges in II$_1$ Factors},
author = {Ken Dykema and Paul Skoufranis},
journal= {arXiv preprint arXiv:1503.05766},
year = {2019}
}
Comments
21 pages