Some refinements of operator reverse AM-GM mean inequalities

In this paper, we prove the operator inequalities as follows: Let [Formula: see text] be positive operators on a Hilbert space with [Formula: see text] and [Formula: see text] . Then for every positive unital linear map Φ, [Formula: see text] and [Formula: see text] Moreover, we prove Lin’s conjectu...

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Detalles Bibliográficos
Autor principal: Xue, Jianming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5686241/
https://www.ncbi.nlm.nih.gov/pubmed/29200793
http://dx.doi.org/10.1186/s13660-017-1557-y
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author Xue, Jianming
author_facet Xue, Jianming
author_sort Xue, Jianming
collection PubMed
description In this paper, we prove the operator inequalities as follows: Let [Formula: see text] be positive operators on a Hilbert space with [Formula: see text] and [Formula: see text] . Then for every positive unital linear map Φ, [Formula: see text] and [Formula: see text] Moreover, we prove Lin’s conjecture when [Formula: see text] .
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spelling pubmed-56862412017-11-28 Some refinements of operator reverse AM-GM mean inequalities Xue, Jianming J Inequal Appl Research In this paper, we prove the operator inequalities as follows: Let [Formula: see text] be positive operators on a Hilbert space with [Formula: see text] and [Formula: see text] . Then for every positive unital linear map Φ, [Formula: see text] and [Formula: see text] Moreover, we prove Lin’s conjecture when [Formula: see text] . Springer International Publishing 2017-11-14 2017 /pmc/articles/PMC5686241/ /pubmed/29200793 http://dx.doi.org/10.1186/s13660-017-1557-y Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Xue, Jianming
Some refinements of operator reverse AM-GM mean inequalities
title Some refinements of operator reverse AM-GM mean inequalities
title_full Some refinements of operator reverse AM-GM mean inequalities
title_fullStr Some refinements of operator reverse AM-GM mean inequalities
title_full_unstemmed Some refinements of operator reverse AM-GM mean inequalities
title_short Some refinements of operator reverse AM-GM mean inequalities
title_sort some refinements of operator reverse am-gm mean inequalities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5686241/
https://www.ncbi.nlm.nih.gov/pubmed/29200793
http://dx.doi.org/10.1186/s13660-017-1557-y
work_keys_str_mv AT xuejianming somerefinementsofoperatorreverseamgmmeaninequalities

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