Operator Subadditivity of the 𝒟-Logarithmic Integral Transform for Positive Operators in Hilbert Spaces

• Autorzy: Sever Silvestru Dragomir
• Języki publikacji: EN

Abstrakty

EN

For a continuous and positive functionw(λ), λ >0 and μ a positive measure on[0,∞)we consider the following D-logarithmic integral transform [...](original abstract)

Słowa kluczowe

EN

Mathematics; Algebra

PL

Matematyka; Algebra

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2021
• Tom: 35 (2)
• Strony: 158--171

Twórcy

autor

Sever Silvestru Dragomir

• Victoria University, Australia

Bibliografia

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• Fujii J.I. and Seo Y., On parametrized operator means dominated by power ones, Sci. Math. 1 (1998), no. 3, 301-306.
• Furuta T., Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation, Linear Algebra Appl. 429 (2008), no. 5-6, 972-980.
• Furuta T., Precise lower bound of f(A)􀀀f(B) for A > B > 0 and non-constant operator monotone function f on [0;1), J. Math. Inequal. 9 (2015), no. 1, 47-52.
• Heinz E., Beiträge zur Störungstheorie der Spektralzerlegung, Math. Ann. 123 (1951), 415-438.
• Löwner K., Über monotone Matrixfunktionen, Math. Z. 38 (1934), no. 1, 177-216.
• Moslehian M.S. and Najafi H., An extension of the Löwner-Heinz inequality, Linear Algebra Appl. 437 (2012), no. 9, 2359-2365.
• Zuo H. and Duan G., Some inequalities of operator monotone functions, J. Math. Inequal. 8 (2014), no. 4, 777-781.

Identyfikatory

DOI

10.2478/amsil-2021-0004