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
Descripción
Sumario: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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