Approximation properties for multiplier algebras of reproducing kernel Hilbert spaces
In this note, it is proved that multiplier algebras of analytic reproducing kernel Hilbert spaces which axe compatible with the action of the torus group possess Kraus' completely contractive approximation property (CCAP) and, consequently, have the Property Sa. Our results apply in particular...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2009
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| Sorozat: | Acta scientiarum mathematicarum
75 No. 3-4 |
| Kulcsszavak: | Matematika, Hilbert-tér |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16325 |
| Tartalmi kivonat: | In this note, it is proved that multiplier algebras of analytic reproducing kernel Hilbert spaces which axe compatible with the action of the torus group possess Kraus' completely contractive approximation property (CCAP) and, consequently, have the Property Sa. Our results apply in particular to the usual reproducing kernel Hilbert spaces on bounded symmetric domains. |
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| Terjedelem/Fizikai jellemzők: | 655-663 |
| ISSN: | 0001-6969 |