| Author/Editor | Drnovšek, Roman | |
| Title | A generalization of the Ando-Krieger theorem | |
| Type | članek | |
| Source | Publ Math-Debrecen | |
| Vol. and No. | Letnik 58, št. 3 | |
| Publication year | 2001 | |
| Volume | str. 515-21 | |
| Language | eng | |
| Abstract | 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. | |
| Descriptors | MATHEMATICS MODELS, THEORETICAL |