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 |