Representation of generalized bi-circular projections on Banach spaces
We prove several results concerning the representation of projections on arbitrary Banach spaces. We also give illustrative examples including an example of a generalized bi-circular projection which can not be written as the average of the identity with an isometric reflection. We also characterize...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 3-4 |
| Kulcsszavak: | Matematika, Banach-tér |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-012-060-2 |
| Online Access: | http://acta.bibl.u-szeged.hu/34849 |
| Tartalmi kivonat: | We prove several results concerning the representation of projections on arbitrary Banach spaces. We also give illustrative examples including an example of a generalized bi-circular projection which can not be written as the average of the identity with an isometric reflection. We also characterize generalized bi-circular projections on Co(il,X), with fl a locally compact Hausdorff space (not necessarily connected) and X a Banach space with trivial centralizer. |
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| Terjedelem/Fizikai jellemzők: | 591-601 |
| ISSN: | 0001-6969 |