SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2018, v.25 no.1, pp.39-48

https://doi.org/10.7468/jksmeb.2018.25.1.39

Moazzen, Alireza (Department of mathematics, Kosar University of Bojnord)

Moazzen, Alireza. (2018). SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES. 한국수학교육학회지시리즈B:순수및응용수학, 25(1), 39-48, https://doi.org/10.7468/jksmeb.2018.25.1.39

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Abstract

In this work, by applying the binomial expansion, some refinements of the Young and Heinz inequalities are proved. As an application, a determinant inequality for positive definite matrices is obtained. Also, some operator inequalities around the Young's inequality for semidefinite invertible matrices are proved.

keywords: operator inequality, Young's inequality, Heinz's inequality

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논문 상세

Vol.25 No.1

SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES

SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES

Abstract

한국수학교육학회지시리즈B:순수및응용수학