Two variables functionals and inequalities related to measurable operators

In this paper, we introduce two variables norm functionals of τ-measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz and Trace inequalities related to τ-measurable operators. Additionally, interpolated versions and th...

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Detalles Bibliográficos
Autor principal: Shao, Jingjing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5727228/
https://www.ncbi.nlm.nih.gov/pubmed/29276359
http://dx.doi.org/10.1186/s13660-017-1583-9
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author Shao, Jingjing
author_facet Shao, Jingjing
author_sort Shao, Jingjing
collection PubMed
description In this paper, we introduce two variables norm functionals of τ-measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz and Trace inequalities related to τ-measurable operators. Additionally, interpolated versions and their monotonicity will be presented as well.
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spelling pubmed-57272282017-12-20 Two variables functionals and inequalities related to measurable operators Shao, Jingjing J Inequal Appl Research In this paper, we introduce two variables norm functionals of τ-measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz and Trace inequalities related to τ-measurable operators. Additionally, interpolated versions and their monotonicity will be presented as well. Springer International Publishing 2017-12-12 2017 /pmc/articles/PMC5727228/ /pubmed/29276359 http://dx.doi.org/10.1186/s13660-017-1583-9 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
Shao, Jingjing
Two variables functionals and inequalities related to measurable operators
title Two variables functionals and inequalities related to measurable operators
title_full Two variables functionals and inequalities related to measurable operators
title_fullStr Two variables functionals and inequalities related to measurable operators
title_full_unstemmed Two variables functionals and inequalities related to measurable operators
title_short Two variables functionals and inequalities related to measurable operators
title_sort two variables functionals and inequalities related to measurable operators
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5727228/
https://www.ncbi.nlm.nih.gov/pubmed/29276359
http://dx.doi.org/10.1186/s13660-017-1583-9
work_keys_str_mv AT shaojingjing twovariablesfunctionalsandinequalitiesrelatedtomeasurableoperators

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