2021/05/27 by Mohammad M. Ghabries, Hassane Abbas, Ghabries, Mohammad M. +5
Mathematics · #15A45 #15A60 #47A64 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications
paper · pdf · doi:10.48550/arxiv.2105.13356
openalex publication_date 2021/05/27 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
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 R. Lemos and G. Soares in \citelemos. In addition, we present a complement of a unitarily invariant norm inequality which was conjectured by R. Bhatia, Y. Lim and T. Yamazaki in \citeBhatia2, and recently proved by T.H. Dinh, R. Dumitru and J.A. Franco in \citeDinh for the Schatten p-norm with 1≤ p≤ ∞.