On some Hölder type trace inequalities for operator weighted geometric mean
نویسندگان
چکیده
منابع مشابه
Some weighted operator geometric mean inequalities
In this paper, using the extended Holder- -McCarthy inequality, several inequalities involving the α-weighted geometric mean (0<α<1) of two positive operators are established. In particular, it is proved that if A,B,X,Y∈B(H) such that A and B are two positive invertible operators, then for all r ≥1, ‖X^* (A⋕_α B)Y‖^r≤‖〖(X〗^* AX)^r ‖^((1-α)/2) ‖〖(Y〗^* AY)^r ‖^((1-α)/2) ‖〖(X〗^* BX)^r ‖^(α/2) ‖〖(Y...
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ژورنال
عنوان ژورنال: Acta et Commentationes Universitatis Tartuensis de Mathematica
سال: 2020
ISSN: 2228-4699,1406-2283
DOI: 10.12697/acutm.2020.24.18