Elementary operators and invariant subalgebras
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- by Keith J. Coates PDF
- Proc. Amer. Math. Soc. 124 (1996), 3437-3441 Request permission
Abstract:
We provide an example of an elementary operator which leaves invariant a nest algebra but which cannot be written as a finite sum of multiplications each of which leaves the nest algebra invariant. We also prove that the given operator lies in the completely bounded norm closure of the linear span of the multiplications which leave the nest algebra invariant.References
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Additional Information
- Keith J. Coates
- Affiliation: Department of Mathematics, Illinois Wesleyan University, Bloomington, Illinois 61702
- Email: kcoates@sun.iwu.edu
- Received by editor(s): September 8, 1994
- Received by editor(s) in revised form: May 18, 1995
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3437-3441
- MSC (1991): Primary 47D25; Secondary 47A15
- DOI: https://doi.org/10.1090/S0002-9939-96-03481-8
- MathSciNet review: 1343685