Operator semigroups with quasinilpotent commutators

Radjavi, Heydar; Rosenthal, Peter; Shulman, Victor

doi:10.1090/S0002-9939-00-05622-7

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.

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