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http://hdl.handle.net/10662/19487
Títulos: | Tensorial and Hadamard product inequalities for functions of selfadjoint operators in Hilbert spaces in terms of Kantorovich ratio |
Autores/as: | Dragomir, S.S. |
Palabras clave: | Tensorial product;Hadamard Product;Selfadjoint operators;Convex functions |
Fecha de publicación: | 2023 |
Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
Resumen: | Let H be a Hilbert space. In this paper we show among others that, if f, g are continuous on the interval I with 0 <γ ≤ f(t)/g(t)≤ Γ for t ∈ I and if A and B are selfadjoint operators with Sp (A), Sp (B) ⊂ I, then [f1−ν(A) gν (A)] ⊗ [fν(B) g1−ν (B)] ≤ (1 − ν) f (A) ⊗ g (B) + ν g (A) ⊗ f (B) ≤ [(γ + Γ) 2/4γΓ]R [f1−ν(A) gν (A)] ⊗ [fν(B) g1−ν (B)]. The above inequalities also hold for the Hadamard product “ ◦ ” instead of tensorial product “ ⊗ ”. |
URI: | http://hdl.handle.net/10662/19487 |
ISSN: | 0213-8743 |
DOI: | 10.17398/2605-5686.38.2.237 |
Colección: | Extracta Mathematicae Vol. 38, nº 2 (2023) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_38_2_237.pdf | 347,12 kB | Adobe PDF | Descargar |
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