Characterization of C0-semigroups with regular norm-function
We prove that a Co-semigroup (T(s))s>o with ||T"(s) || > 1 (s > 0) has a regular norm-function if and only if its regularity constant is positive. This extends the characterization of single operators with regular norm-sequences.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2008
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| Sorozat: | Acta scientiarum mathematicarum
74 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16276 |
| Tartalmi kivonat: | We prove that a Co-semigroup (T(s))s>o with ||T"(s) || > 1 (s > 0) has a regular norm-function if and only if its regularity constant is positive. This extends the characterization of single operators with regular norm-sequences. |
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| Terjedelem/Fizikai jellemzők: | 863-883 |
| ISSN: | 0001-6969 |