A norm estimate for holomorphic operator functions in an ordered Banach space
The paper deals with holomorphic functions of a bounded operator A acting in a Banach complex lattice. A norm estimate for the considered operator valued functions is derived. Applications of the obtained bound to functions of integral operators, partial integral operators, infinite matrices and dif...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 1-2 |
| Kulcsszavak: | Matematika, Banach-tér |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-012-052-x |
| Online Access: | http://acta.bibl.u-szeged.hu/34489 |
| Tartalmi kivonat: | The paper deals with holomorphic functions of a bounded operator A acting in a Banach complex lattice. A norm estimate for the considered operator valued functions is derived. Applications of the obtained bound to functions of integral operators, partial integral operators, infinite matrices and differential equations are also discussed. |
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| Terjedelem/Fizikai jellemzők: | 141-148 |
| ISSN: | 0001-6969 |