2017
DOI: 10.1080/03081087.2017.1360242
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A note on some inequalities for positive linear maps

Abstract: Abstract. We improve and generalize some operator inequalities for positive linear maps. It is shown, among other inequalities, that if 0andWe also obtain an improvement of operator Pólya-Szegö inequality.

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Cited by 6 publications
(3 citation statements)
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“…The problem of squaring operator inequalities has been studied extensively in the literature. We refer the reader to [4,[8][9][10]12] as sample of this work.…”
Section: Introductionmentioning
confidence: 99%
“…The problem of squaring operator inequalities has been studied extensively in the literature. We refer the reader to [4,[8][9][10]12] as sample of this work.…”
Section: Introductionmentioning
confidence: 99%
“…The research of inequalities and equalities relevant to Parseval frames was done by Balan, Casazza et al in [14]. It has interested some engineers and mathematicians (see [15][16][17][18][19][20][21][22][23][24][25][26]). In particular, Balan et al and Gȃvruţa obtained the following two inequalities: Proposition 1 ([14]).…”
Section: Introductionmentioning
confidence: 99%
“…A real valued function f defined on an interval J is said to be operator convex (resp. During the past decades several formulations, extensions or refinements of the Kantorovich inequality [7] in various settings have been introduced by many mathematicians; see [6,8,9,11] and references therein.…”
Section: Introductionmentioning
confidence: 99%