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

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

Published Date

2023

Language

English

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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.