Chattopadhyay Arup and Sain Debmalya and Senapati Tanusri: A study of non-positive operators between real normed linear spaces. In: Acta scientiarum mathematicarum, (86) 3-4. pp. 449-466. (2020)
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Abstract
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.
| Item Type: | Article |
|---|---|
| Heading title: | Analysis |
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2020 |
| Volume: | 86 |
| Number: | 3-4 |
| ISSN: | 2064-8316 |
| Page Range: | pp. 449-466 |
| Language: | English |
| Related URLs: | http://acta.bibl.u-szeged.hu/73790/ |
| DOI: | 10.14232/actasm-019-554-z |
| Uncontrolled Keywords: | Matematika, Analízis - matematikai |
| Additional Information: | Bibliogr.: p. 465-466. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 15. 13:22 |
| Last Modified: | 2021. Nov. 15. 13:22 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73898 |
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