On unitary dilations of two-parameter semigroups of contractions and continuous commutant lifting
It is proved that every semigroup of contractions with parameter on Q+ x Q+ or Q+ x N has a unitary dilation. The dilation result about Q+ x Q+ is used to obtain a new proof of the Slociriski dilation theorem, which says that every strongly continuous semigroup of contractions, with parameter on R+...
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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 |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16409 |
| Tartalmi kivonat: | It is proved that every semigroup of contractions with parameter on Q+ x Q+ or Q+ x N has a unitary dilation. The dilation result about Q+ x Q+ is used to obtain a new proof of the Slociriski dilation theorem, which says that every strongly continuous semigroup of contractions, with parameter on R+ x R + , has a strongly continuous unitary dilation. The result about Q+ x N is used to obtain a new proof of the continuous version of the commutant lifting theorem. |
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| Terjedelem/Fizikai jellemzők: | 607-620 |
| ISSN: | 0001-6969 |