Chattopadhyay, A and Sain, D and Senapati, T (2020) A study of non-positive operators between real normed linear spaces. In: Acta Scientiarum Mathematicarum, 86 (3-4). pp. 449-466.
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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. © Bolyai Institute, University of Szeged
| Item Type: | Journal Article |
|---|---|
| Publication: | Acta Scientiarum Mathematicarum |
| Publisher: | University of Szeged |
| Additional Information: | The copyright for this article belongs to University of Szeged. |
| Keywords: | Birkhoff-James orthogonality; Non-positive operator; Polyhedral Banach spaces; Semi-inner-product |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 07 Feb 2023 09:43 |
| Last Modified: | 07 Feb 2023 09:43 |
| URI: | https://eprints.iisc.ac.in/id/eprint/80004 |
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