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The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Operators

  • Jean BourgainEmail author
  • Dan-Virgil Voiculescu
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 252)

Abstract

We show that for a commuting n-tuple of hermitian operators, with perfect spectrum, the essential centre of the algebra of operators commuting with the n-tuple mod a diagonalization ideal arises from the C *-algebra of the n-tuple. This answers a question for normal operators and the Hilbert– Schmidt class connected to K-theory for almost normal operators.

Keywords

Normed ideal of operators essential centre diagonalization commutant mod ideal 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.School of MathematicsInstitute for Advanced StudyPrincetonUSA
  2. 2.Department of MathematicsUC BerkeleyBerkeleyUSA

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