Avtor/Urednik     Drnovšek, Roman
Naslov     A generalization of the Ando-Krieger theorem
Tip     članek
Vir     Publ Math-Debrecen
Vol. in št.     Letnik 58, št. 3
Leto izdaje     2001
Obseg     str. 515-21
Jezik     eng
Abstrakt     Using a recent remarkable result of Turovskii we prove the following extension of the famous Ando-Krieger theorem to multiplicative semigroups of operators. Let E be a Dedekind complete Banach lattice of dimension at least two, and let S be a multiplicative semigroup of quasinilpotent positive abstract kernel operators on E. Then S has a non-trivial invariant closed ideal.
Deskriptorji     MATHEMATICS
MODELS, THEORETICAL