On a preorder relation for contractions
An order relation for contractions on a Hilbert space can be introduced by stating that A + B if and only if A is unitarily equivalent to the restriction of B to an invariant subspace. We discuss the equivalence classes associated to this relation, and identify cases in which they coincide with clas...
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| Dokumentumtípus: | Cikk |
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Bolyai Institute, University of Szeged
Szeged
2016
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| Sorozat: | Acta scientiarum mathematicarum
82 No. 3-4 |
| Kulcsszavak: | Hilbert tér, Ekvivalencia, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-015-068-5 |
| Online Access: | http://acta.bibl.u-szeged.hu/46330 |
| Tartalmi kivonat: | An order relation for contractions on a Hilbert space can be introduced by stating that A + B if and only if A is unitarily equivalent to the restriction of B to an invariant subspace. We discuss the equivalence classes associated to this relation, and identify cases in which they coincide with classes of unitary equivalence. The results extend those for completely nonunitary partial isometries obtained by Garcia, Martin, and Ross. |
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| Terjedelem/Fizikai jellemzők: | 629-640 |
| ISBN: | 0001-6969 |