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

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

Journal Article (2023)

Author(s)

Ken Dykema (Texas A&M University)

Amudhan Krishnaswamy-Usha (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group

Analysis

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

DOI related publication

https://doi.org/10.7900/jot.2021sep09.2375 Final published version

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

More Info

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Publication Year

2023

Language

English

Research Group

Analysis

Journal title

Journal of Operator Theory

Issue number

1

Volume number

90

Pages (from-to)

73-90

Downloads counter

123

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.