CM-ideals and L1-matricial split faces
We discuss the order-theoretic properties of CM-ideals in matricially order smooth∞-normed spaces. We study the relation between CM-ideals and CL-summands in the matrix duality setup. We introduce the notion of L1-matricial split faces in an L1-matricially normed space and characterize CM-ideals in...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 3-4 |
| Kulcsszavak: | Operátor terek, Operátor elméletek |
| doi: | 10.14232/actasm-019-259-6 |
| Online Access: | http://acta.bibl.u-szeged.hu/66339 |
| Tartalmi kivonat: | We discuss the order-theoretic properties of CM-ideals in matricially order smooth∞-normed spaces. We study the relation between CM-ideals and CL-summands in the matrix duality setup. We introduce the notion of L1-matricial split faces in an L1-matricially normed space and characterize CM-ideals in a matricially order smooth∞-normed space Vin terms of the L1-matricial split face of the L1-matrix convex set{Qn(V)}. |
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| Terjedelem/Fizikai jellemzők: | 659-679 |
| ISSN: | 2064-8316 |