New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality

نویسندگان

چکیده

The purpose of this paper is to establish new log-majorization results concerning eigenvalues and singular values which generalize some previous work related a conjecture an open question were presented by R. Lemos G. Soares in \cite{lemos}. In addition, we present complement unitarily invariant norm inequality was conjectured Bhatia, Y. Lim T. Yamazaki \cite{Bhatia2}, recently proved T.H. Dinh, Dumitru J.A. Franco \cite{Dinh} for the Schatten p-norm with $1\leq p\leq \infty$.

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ژورنال

عنوان ژورنال: Linear & Multilinear Algebra

سال: 2022

ISSN: ['0308-1087', '1026-7573', '1563-5139']

DOI: https://doi.org/10.1080/03081087.2022.2059050