Operator semigroups with quasinilpotent commutators-Reference-Cited by-同舟云学术

Operator semigroups with quasinilpotent commutators

Published:2000-02-21 Issue:8 Volume:128 Page:2413-2420
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Radjavi Heydar,Rosenthal Peter,Shulman Victor

Abstract

It is shown that a multiplicative semigroup of operators is triangularizable if S T − T S ST-TS is quasinilpotent for every pair { S , T } \{S,\ T\} in the semigroup and certain other hypotheses are satisfied.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2000-128-08/S0002-9939-00-05622-7/S0002-9939-00-05622-7.pdf

Reference16 articles.

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3. Die Grundlehren der mathematischen Wissenschaften, Band 134;Huppert, B.,1967

4. On triangularization of algebras of operators;Laurie, C.;J. Reine Angew. Math.,1981

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