On power bounded operators that are quasiaffine transforms of singular unitaries
In [9] a question is raised: if a power bounded operator is quasisimilar to a singular unitary operator, is it similar to this unitary operator? For polynomially bounded operators, a positive answer to this question is known [1], [13]. In this paper a positive answer is given in some particular case...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2011
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| Sorozat: | Acta scientiarum mathematicarum
77 No. 3-4 |
| Kulcsszavak: | Matematika, Operátorelmélet |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16408 |
| Tartalmi kivonat: | In [9] a question is raised: if a power bounded operator is quasisimilar to a singular unitary operator, is it similar to this unitary operator? For polynomially bounded operators, a positive answer to this question is known [1], [13]. In this paper a positive answer is given in some particular cases, but in general an answer rests unknown. |
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| Terjedelem/Fizikai jellemzők: | 589-606 |
| ISSN: | 0001-6969 |