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 |
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| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Bruzual Ramón | |
| 245 | 1 | 3 | |a On unitary dilations of two-parameter semigroups of contractions and continuous commutant lifting |h [elektronikus dokumentum] / |c Bruzual Ramón |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2011 | ||
| 300 | |a 607-620 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 77 No. 3-4 | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 700 | 0 | 1 | |a Domínguez Marisela |e aut |
| 700 | 0 | 1 | |a Montilla Mayra |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16409/1/math_077_numb_003_004_607-620.pdf |z Dokumentum-elérés |