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Operator semigroups with quasinilpotent commutators

Author(s): Heydar Radjavi; Peter Rosenthal; Victor Shulman
Journal: Proc. Amer. Math. Soc. 128 (2000), 2413-2420.
MSC (2000): Primary 47A15, 47D03
Posted: February 21, 2000
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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.

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Additional Information:

Heydar Radjavi
Affiliation: Department of Mathematics, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5
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

DOI: 10.1090/S0002-9939-00-05622-7
PII: S 0002-9939(00)05622-7
Received by editor(s): September 23, 1998
Posted: February 21, 2000
Communicated by: David R. Larson
Copyright of article: Copyright 2000, American Mathematical Society

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