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Karpatsʹkì Matematičnì Publìkacìï
Article . 2022 . Peer-reviewed
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Karpatsʹkì Matematičnì Publìkacìï
Article . 2022
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Banach-Steinhaus theorem for linear relations on asymmetric normed spaces

descriptionPublicationkeyboard_double_arrow_right Article 30 Jun 2022Publisher:Vasyl Stefanyk Precarpathian National UniversityJournal:Carpathian Mathematical Publications, volume 14, pages 230-237 (issn: 2075-9827, eissn: 2313-0210, Copyright policy )
Authors: K. Bouadjila; A. Tallab; E. Dahia;

doi: 10.15330/cmp.14.1.230-237

Banach-Steinhaus theorem for linear relations on asymmetric normed spaces

Abstract

We study the continuity of linear relations defined on asymmetric normed spaces with values in normed spaces. We give some geometric charactirization of these mappings. As an application, we prove the Banach-Steinhaus theorem in the framework of asymmetric normed spaces.

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Keywords

asymmetric norm, multivalued linear operator, linear relation, QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
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