Some inequalities for operator monotone functions
In this paper we show that, if that the function f : [0, ∞) → is operator monotone in [0, ∞) then there exist b ≥ 0 and a positive measure m on [0, ∞) such that [f(B)-f(A)](B-A)==b(B-A)2+∫0∞s2[∫01[((1-t)A+tB+s)-1(B-A)]2dt]dm(s)\matrix{ {\left[ {f\left( B \right) - f\left( A \right)} \right]\left...
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
Sciendo
2022-06-01
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| Schriftenreihe: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Schlagworte: | |
| Online-Zugang: | https://doi.org/10.2478/awutm-2022-0008 |
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