A generalization of spin factors
Using the technique of adjoining an order unit to a normed linear space, we have characterized strictly convex spaces among normed linear spaces and Hilbert spaces among strictly convex Banach spaces, respectively. This leads to a generalization of spin factors and provides a new class of absolute o...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2021
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| Sorozat: | Acta scientiarum mathematicarum
87 No. 3-4 |
| Kulcsszavak: | Analízis - matematikai, Banach-tér, Hilbert-tér |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-021-785-5 |
| Online Access: | http://acta.bibl.u-szeged.hu/75855 |
| Tartalmi kivonat: | Using the technique of adjoining an order unit to a normed linear space, we have characterized strictly convex spaces among normed linear spaces and Hilbert spaces among strictly convex Banach spaces, respectively. This leads to a generalization of spin factors and provides a new class of absolute order unit spaces. |
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| Terjedelem/Fizikai jellemzők: | 551-569 |
| ISSN: | 2064-8316 |