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Filomat
Article . 2023 . Peer-reviewed
License: CC 0
Data sources: Crossref
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arXiv.org e-Print Archive
Preprint . 2019
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2019
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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A note on Kantorovich and Ando inequalities

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2023Embargo end date: 01 Jan 2019 English Publisher:National Library of SerbiaJournal:Filomat, volume 37, pages 4,171-4,183 (issn: 0354-5180, eissn: 2406-0933, Copyright policy )
Authors: Sababheh, Mohammad; Moradi, Hamid Reza; Gümüş, Ibrahim Halil; Furuichi, Shigeru;

doi: 10.2298/fil2313171s , 10.48550/arxiv.1911.12915

arXiv: 1911.12915

A note on Kantorovich and Ando inequalities

Abstract

The main goal of this exposition is to present further analysis of the Kantorovich and Ando operator inequalities. In particular, a new proof of Ando?s inequality is given, a new non-trivial refinement of Kantorovich inequality is shown, and some equivalent forms of the Kantorovich inequality are presented with a Minkowski-type application.

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Keywords

Mathematics - Functional Analysis, FOS: Mathematics, 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!
1
Average
Average
Average
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gold