Convex inequalities in Hilbert C *-modules
Abstract
The Hölder-McCarthy inequalities are originally derived in the Hilbert space case and have been generalized via a convex inequality. The main purpose of this paper is to extend this convex inequality to the Hilbert C∗-module case, and meanwhile to make some investigations on the validity of the Hölder-McCarthy inequalities in the Hilbert C∗-module case.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Advanced Operator Algebra Research
Advanced Banach Space Theory
Publication details
- Journal / source
- Linear and Multilinear Algebra
- Volume
- 74
- Issue
- 4
- Pages
- 438–448
- Publication date
- 3 February 2026
- Language
- EN