A new collection of n -tuple operator inequalities
Abstract
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.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Optimization and Variational Analysis
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Georgian Mathematical Journal
- Publisher
- Walter de Gruyter GmbH
- Publication date
- 27 May 2026
- Language
- EN