A new collection of $n-$tuple operator inequalities

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Zameddin I. İsmailov, Pembe Ipek Al, Hamid Reza Moradi, Mohammad Sababheh
DOI: 10.48550/arxiv.2602.14463
Cited by: 0

Abstract

In this paper, we present several new bounds for the norm and numerical radius of sums of Hilbert space operators. The obtained bounds form a new collection that enriches our understanding of these bounds. We compare our bounds with the existing literature using examples that demonstrate, in general, how our results are incomparable with the known bounds. Of particular interest are the treatment of the triangle inequality, the numerical radius of operator matrices, and singular value bounds for sums of operators.

Fields of Study & Subjects

Mathematical Inequalities and Applications Matrix Theory and Algorithms Advanced Banach Space Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 February 2026
Language
EN
Document type
Preprint