A study of non-positive operators between real normed linear spaces
We introduce the concept of non-positive operators with respect to a fixed operator defined between two real normed linear spaces. Significantly, we observe that, in certain cases, it is possible to study such type of operators from a geometric point of view. As an immediate application of our study...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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2020
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| Sorozat: | Acta scientiarum mathematicarum
86 No. 3-4 |
| Kulcsszavak: | Matematika, Analízis - matematikai |
| doi: | 10.14232/actasm-019-554-z |
| Online Access: | http://acta.bibl.u-szeged.hu/73898 |
| Tartalmi kivonat: | We introduce the concept of non-positive operators with respect to a fixed operator defined between two real normed linear spaces. Significantly, we observe that, in certain cases, it is possible to study such type of operators from a geometric point of view. As an immediate application of our study, we explicitly characterize certain classes of non-positive operators between particular pairs of real normed linear spaces. Furthermore, we present a complete characterization of smooth and strictly convex Radon planes in connection with non-positive operators. |
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| Terjedelem/Fizikai jellemzők: | 449-466 |
| ISSN: | 2064-8316 |