On a pseudo-mean for Hilbert space operators
In this paper, we introduce the pseudo-mean A◯pνB:=||BA†|νA|2 for bounded linear operators A and B on a Hilbert space H, where A has closed range and ν≥0. We establish several inequalities for this pseudo-mean and provide an illustrative example.
Authors
- M.R. Jabbarzadeh
- M. Sohrabi
Institutions
- Lorestan University (IR)
- University of Tabriz (IR)
Publication Details
- Journal
- Linear and Multilinear Algebra
- Published
- 2026-08-17
- DOI
- https://doi.org/10.1080/03081087.2026.2679717
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00