Some inequalities for the Euclidean operator radius of two operators in Hilbert C^∗-Modules space

2023/07/04 by M. H. M. Rashid, Rashid, M. H. M.
Computer Science · Mathematics · #46C05 #47A12 #47C10 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #G.0 #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #Operator Algebras (math.OA) #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2307.01695

openalex publication_date 2023/07/04 · openalex created_date 2023/07/07 · openalex updated_date 2026/07/28

Abstract

The Euclidean operator radius of two bounded linear operators in the Hilbert C^*-module over \A is given some precise bounds. Their relationship to recent findings in the literature that offer precise upper and lower bounds on the numerical radius of linear operators is also established.

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