Some non-spectral DT-operators in finite von Neumann algebras

Journal article (2023)

Authors

Ken Dykema Texas A&M University

A. Krishnaswamy Usha Analysis -

Research Group

Analysis () (TU Delft)

Decomposability DT-operator Finite von Neumann algebra Haagerup–Schultz projection Spectrality

To reference this document use:

http://resolver.tudelft.nl/uuid:40cc81a3-8371-4adb-bd12-3f58eff2ad07

More Info

expand_more

Published Date

2023

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

Given a DT-operator Z whose Brown measure is radially symmetric and has a certain concentration property, it is shown that Z is not spectral in the sense of Dunford. This is accomplished by showing that the angles between certain complementary Haagerup–Schultz projections of Z approach zero. New estimates on norms and traces of powers of algebra-valued circular operators over commutative C*-algebras are also proved.