Composition operators similar to contractions
Operators of type f→f◦φ acting on function spaces are called composition operators. We consider composition operators acting on the Hilbert Hardy space on the open unit disc or the right half-plane, study when they are similar to contractions, and obtain results interesting from the point of view of...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 3-4 |
| Kulcsszavak: | Funkcionális terek - operátorok - Hilbert Hardy tér |
| doi: | 10.14232/actasm-018-578-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/66332 |
| Tartalmi kivonat: | Operators of type f→f◦φ acting on function spaces are called composition operators. We consider composition operators acting on the Hilbert Hardy space on the open unit disc or the right half-plane, study when they are similar to contractions, and obtain results interesting from the point of view of dilation theory of contractions and function theory. |
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| Terjedelem/Fizikai jellemzők: | 561-571 |
| ISSN: | 2064-8316 |