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

Author

Ghabries, Mohammad M., Abbas, Hassane, Mourad, Bassam, and Assi, Abdallah

Subjects
*EIGENVALUES, *MATRICES (Mathematics), *OPEN-ended questions
Abstract

The purpose of this paper is to establish new log-majorization results concerning eigenvalues and singular values which generalize some previous work related to a conjecture and an open question which were presented by Lemos and Soares in 2018. In addition, we present a complement of a unitarily invariant norm inequality which was conjectured by Bhatia, Lim and Yamazaki in 2016, and recently proved by Dinh, Dumitru and Franco in 2017 for the Schatten p-norm with 1 ≤ p ≤ ∞. [ABSTRACT FROM AUTHOR]

Published
2023
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