Operator semigroups with quasinilpotent commutators

Authors
Radjavi, H Rosenthal, P Shulman, V
Citation
H. Radjavi et al., Operator semigroups with quasinilpotent commutators, P AM MATH S, 128(8), 2000, pp. 2413-2420
Citations number
16
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
8
Year of publication
2000
Pages
2413 - 2420
Database
ISI
SICI code
0002-9939(2000)128:8<2413:OSWQC>2.0.ZU;2-J
Abstract
It is shown that a multiplicative semigroup of operators is triangularizabl e if ST - TS is quasinilpotent for every pair {S, T} in the semigroup and c ertain other hypotheses are satisfied.