Operator semigroups with quasinilpotent commutators
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- by Heydar Radjavi, Peter Rosenthal and Victor Shulman PDF
- Proc. Amer. Math. Soc. 128 (2000), 2413-2420 Request permission
Abstract:
It is shown that a multiplicative semigroup of operators is triangularizable if $ST-TS$ is quasinilpotent for every pair $\{S,\ T\}$ in the semigroup and certain other hypotheses are satisfied.References
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Additional Information
- Heydar Radjavi
- Affiliation: Department of Mathematics, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5
- MR Author ID: 143615
- Email: radjavi@mscs.dal.ca
- Peter Rosenthal
- Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3
- Email: rosent@math.toronto.edu
- Victor Shulman
- Affiliation: Department of Mathematics, Vologda Polytechnical Institute, 15 Lenin St., 16008 Vologda, Russia
- Email: sev@vgpi.vologda.su
- Received by editor(s): September 23, 1998
- Published electronically: February 21, 2000
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2413-2420
- MSC (2000): Primary 47A15, 47D03
- DOI: https://doi.org/10.1090/S0002-9939-00-05622-7
- MathSciNet review: 1706985