Semivariations of a vector measure
With a measure <p on a er-algebra E of sets taking values in a Banach space two positive functions on E, called semivariations of ip, are associated. We characterize those functions as order continuous submeasures that are multiply subadditive in the sense of G. G. Lorentz (1952). In connection w...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2010
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| Sorozat: | Acta scientiarum mathematicarum
76 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16357 |
| Tartalmi kivonat: | With a measure <p on a er-algebra E of sets taking values in a Banach space two positive functions on E, called semivariations of ip, are associated. We characterize those functions as order continuous submeasures that are multiply subadditive in the sense of G. G. Lorentz (1952). In connection with some results of G. Curbera (1994) and the author (2003), we also discuss the special cases where ip is separable and nonatomic or has relatively compact range. |
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| Terjedelem/Fizikai jellemzők: | 411-425 |
| ISSN: | 0001-6969 |