Weighted Hardy spaces shift invariant and coinvariant subspaces, linear systems and operator model theory /
The Sz.-Nagy-Foias model theory for C.o contraction operators combined with the Beurling-Lax theorem establishes a correspondence between any two of four kinds of objects: shift-invariant subspaces, operatorvalued inner functions, conservative discrete-time input/state/output linear systems, and C.o...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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Bolyai Institute, University of Szeged
Szeged
2013
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| Sorozat: | Acta scientiarum mathematicarum
79 No. 3-4 |
| Kulcsszavak: | Matematika, Hardy-tér |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/32911 |
| Tartalmi kivonat: | The Sz.-Nagy-Foias model theory for C.o contraction operators combined with the Beurling-Lax theorem establishes a correspondence between any two of four kinds of objects: shift-invariant subspaces, operatorvalued inner functions, conservative discrete-time input/state/output linear systems, and C.o Hilbert-space contraction operators. We discuss an analogue of all these ideas in the context of weighted Hardy spaces over the unit disk and an associated class of hypercontraction operators. |
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| Terjedelem/Fizikai jellemzők: | 623-686 |
| ISSN: | 0001-6969 |