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.
Mathematics Subject Classification (2010). Primary 47A55; Secondary 47L20, 47L30, 47B47
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Bourgain, J., Voiculescu, DV. (2016). The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Operators. In: Alpay, D., Cipriani, F., Colombo, F., Guido, D., Sabadini, I., Sauvageot, JL. (eds) Noncommutative Analysis, Operator Theory and Applications. Operator Theory: Advances and Applications(), vol 252. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29116-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-29116-1_4
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-29114-7
Online ISBN: 978-3-319-29116-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)