On contractions in Hilbert space
In the first part of the paper we study the decompositions of a (bounded linear) operator similar to a normal operator in Hilbert space into the orthogonal sum of a normal (self-adjoint, unitary) part and of a part free of the given property, respectively. In the second part we investigate in a fini...
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| További közreműködők: | |
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2013
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| Sorozat: | Acta scientiarum mathematicarum
79 No. 1-2 |
| Kulcsszavak: | Matematika, Hilbert-tér |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/30872 |
| Tartalmi kivonat: | In the first part of the paper we study the decompositions of a (bounded linear) operator similar to a normal operator in Hilbert space into the orthogonal sum of a normal (self-adjoint, unitary) part and of a part free of the given property, respectively. In the second part we investigate in a finite dimensional Hilbert space the minimal unitary power dilations (till the exponent k) of a contraction. We determine the general form of such dilations, examine their spectra, and the question of their isomorphy. The first step of the study here is also the decomposition of the contraction into unitary and completely non-unitary parts. |
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| Terjedelem/Fizikai jellemzők: | 235-251 |
| ISSN: | 0001-6969 |