Invariant subspaces of multiple tensor products
Regular subspaces are tensor products of subspaces. The structure of regular subspaces that are invariant or reducing for the tensor product of a finite collection of Hilbert space operators is entirely characterized. Necessary and sufficient conditions for a multiple tensor product of operators to...
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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 |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16327 |
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| 100 | 1 | |a Kubrusly Carlos S. | |
| 245 | 1 | 0 | |a Invariant subspaces of multiple tensor products |h [elektronikus dokumentum] / |c Kubrusly Carlos S. |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2009 | ||
| 300 | |a 679-692 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 75 No. 3-4 | |
| 520 | 3 | |a Regular subspaces are tensor products of subspaces. The structure of regular subspaces that are invariant or reducing for the tensor product of a finite collection of Hilbert space operators is entirely characterized. Necessary and sufficient conditions for a multiple tensor product of operators to be a unilateral shift are established, and it is proved that a multiple tensor product of operators is a completely nonunitary contraction if and only if each factor is a contraction, one of them being completely nonunitary. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16327/1/math_075_numb_003_004_679-692.pdf |z Dokumentum-elérés |