A new collection of n-tuple operator inequalities
Georgian Mathematical Journal, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2026
- Doi Number: 10.1515/gmj-2026-3011
- Journal Name: Georgian Mathematical Journal
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO)
- Keywords: Numerical radius, operator norm, singular values
- Karadeniz Technical University Affiliated: Yes
Abstract
In this paper, we present several new bounds for the norm and numerical radius of sums of Hilbert space operators. The obtained bounds constitute 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.