Warianty tytułu
Języki publikacji
Abstrakty
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
Twórcy
autor
- Victoria University, Australia
Bibliografia
- Bhatia R., Matrix Analysis, Graduate Texts in Mathematics, 169, Springer-Verlag, New York, 1997.
- Dragomir S.S., Operator monotonicity of an integral transform of positive operators in Hilbert spaces with applications, Preprint RGMIA Res. Rep. Coll. 23 (2020), Art. 65. Available at https://rgmia.org/papers/v23/v23a65.pdf.
- 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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171628746