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arXiv.org e-Print Archive
Preprint . 2017
Data sources: arXiv.org e-Print Archive
Annals of the University of Craiova. Mathematics and Computer Science Series
Article . 2025 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2017
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Hypo-q-morms on a Cartesian product of normed linear spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 20 Jun 2025Embargo end date: 01 Jan 2017 Australia Publisher:University of CraiovaJournal:Annals of the University of Craiova Mathematics and Computer Science Series, volume 52, pages 187-201 (issn: 1223-6934, eissn: 2246-9958, Copyright policy )
Authors: Dragomir Silvestru Sever;

doi: 10.52846/ami.v52i1.1942 , 10.48550/arxiv.1711.07340

arXiv: 1711.07340

Hypo-q-morms on a Cartesian product of normed linear spaces

Abstract

In this paper we introduce the hypo-q-norms on a Cartesian product of normed linear spaces. A representation of these norms in terms of bounded linear functionals of norm one, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar Shisha-Mond, Birnacki et al. and other Grüss type inequalities are also given.

Country
Australia
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Keywords

Mathematics - Functional Analysis, 0102 Applied Mathematics, College of Science and Engineering, FOS: Mathematics, 46B05, math.FA, functional analysis, Functional Analysis (math.FA)

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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!
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