Second derivative Lipschitz type inequalities for an integral transform of positive operators in Hilbert spaces
For a continuous and positive function w (λ), λ > 0 and µ a positive measure on (0, ∞) we consider the following integral transform D (w, µ) (T ) := ∫0∞w (λ) (λ + T ) −1 dµ (λ) , where the integral is assumed to exist for T a positive operator on a complex Hilbert space H. We show among other...
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Format: | Article |
Language: | English |
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University of Extremadura
2022-10-01
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Series: | Extracta Mathematicae |
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Online Access: | https://publicaciones.unex.es/index.php/EM/article/view/1781 |