Noncompact commutators in the commutant of a cyclic operator
HTML articles powered by AMS MathViewer
- by James D. Stafney PDF
- Proc. Amer. Math. Soc. 106 (1989), 385-389 Request permission
Abstract:
We show that the commutant of the operator $S \otimes \left ( {I + {S^*}} \right )$, where $S$ is the shift operator, contains two operators $A$ and $B$ such that $AB - BA$ is not compact operator.References
- Domingo A. Herrero, On multicyclic operators, Integral Equations Operator Theory 1 (1978), no. 1, 57–102. MR 490887, DOI 10.1007/BF01682740
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 385-389
- MSC: Primary 47B47; Secondary 47B99
- DOI: https://doi.org/10.1090/S0002-9939-1989-0953012-9
- MathSciNet review: 953012