Inequalities for functions of 2×2block matrices
| Autor: | Alrimawi, Fadi |
|---|---|
| Zdroj: | Acta Scientiarum Mathematicarum; 20230101, Issue: Preprints p1-11, 11p |
| Abstrakt: | Let T=T11T12T21T22be accretive-dissipative, where T11,T12,T21,and T22are n×ncomplex matrices. Let fbe a non-negative function on [0,∞)such that f(0)=0, and let α,β∈(0,1)such that α+β=1. For every unitarily invariant norm ·, it is shown that ∑j=12fTjj+(2α-1)Tjj∗22+fαβ2Tjj∗≤2max(α,β)f(T)whenever t→ftis convex and ∑j=12αfTjj+(2α-1)Tjj∗2α+βf2αTjj∗≤4fmax(α,β)Twhenever fis concave. |
| Databáze: | Supplemental Index |
| Externí odkaz: |
|
Full text from SpringerLink