A study of non-positive operators between real normed linear spaces

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
Publisher:	Bolyai Institute, University of Szeged
Place of Publication:	Szeged
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
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2021. Nov. 15. 13:22
Last Modified:	2026. Feb. 18. 13:57
URI:	http://acta.bibl.u-szeged.hu/id/eprint/73898

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