Some non-spectral DT-operators in finite von Neumann algebras
Operator Algebras
2021-05-28 v2
Abstract
Given a DT-operator whose Brown measure is radially symmetric and has a certain concentration property, it is shown that is not spectral in the sense of Dunford. This is accomplished by showing that the angles between certain complementary Haagerup-Schultz projections of are zero. New estimates on norms and traces of powers of algebra-valued circular operators over commutative C-algebras are also proved.
Keywords
Cite
@article{arxiv.2012.00903,
title = {Some non-spectral DT-operators in finite von Neumann algebras},
author = {Ken Dykema and Amudhan Krishnaswamy-Usha},
journal= {arXiv preprint arXiv:2012.00903},
year = {2021}
}
Comments
18 pages, version 2 fixes some minor mistakes and adds some clarifying remarks