A class of power bounded operators which are similar to contractions
Let it be a power bounded operator, and let M be its invariant subspace such that R\M is similar to a unilateral shift of finite multiplicity and PM±R\M± is similar to a Co-contraction. Then it is similar to a contraction.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-014-267-4 |
| Online Access: | http://acta.bibl.u-szeged.hu/34851 |
| Tartalmi kivonat: | Let it be a power bounded operator, and let M be its invariant subspace such that R\M is similar to a unilateral shift of finite multiplicity and PM±R\M± is similar to a Co-contraction. Then it is similar to a contraction. |
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| Terjedelem/Fizikai jellemzők: | 625-637 |
| ISSN: | 0001-6969 |