Some renormings of Banach spaces with the weak fixed point property for nonexpansive mappings
In 2013, Jiménez–Melado and Llorens–Fuster proved that the renorming of ℓ 2 , |x| = max{kxk2, p(x)}, where p is a seminorm on ℓ 2 satisfying certain conditions, has the weak fixed point property. In this paper, we generalize this result for a Banach space having normal structure and Schauder basis....
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2019
|
| Sorozat: | Acta scientiarum mathematicarum
85 No. 1-2 |
| Kulcsszavak: | Matematika, Banach tér |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-017-339-4 |
| Online Access: | http://acta.bibl.u-szeged.hu/62139 |
| Tartalmi kivonat: | In 2013, Jiménez–Melado and Llorens–Fuster proved that the renorming of ℓ 2 , |x| = max{kxk2, p(x)}, where p is a seminorm on ℓ 2 satisfying certain conditions, has the weak fixed point property. In this paper, we generalize this result for a Banach space having normal structure and Schauder basis. From this, we derive that every Banach space having normal structure and Schauder basis has an equivalent renorming that lacks asymptotic normal structure but has the weak fixed point property. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 171-180 |
| ISSN: | 2064-8316 |