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    Positive Compact Operators on Quaternionic Hilbert Spaces 

    Type: Journal Paper
    Author : معصومه فشندی; Massoumeh Fashandi
    Year: 2017
    Abstract:

    In this paper, some properties of compact operators on quaternionic Hilbert spaces are studied. It is shown that the positiveness of a compact normal operator on a quaternionic Hilbert space is equivalent to positiveness ...

    Positivity of $2\\\\\\\\times 2$ block matrices of operators 

    Type: Journal Paper
    Author : Mohsen Kian; Qingxiang Xu; Mohsen Kian; Qingxiang Xu
    Year: 2019
    Abstract:

    ‎We review some significant generalizations and applications of the celebrated Douglas theorem on equivalence of factorization‎, ‎range inclusion‎, ‎and majorization of operators‎. ‎We then apply it to find a characterization ...

    A New Class of Operator Monotone Functions via Operator Means 

    Type: Journal Paper
    Author : Rajinder Pal; Mandeep Singh; محمد صال مصلحیان; Jaspal Singh Aujla; Mohammad Sal Moslehian
    Year: 2016
    Abstract:

    In this paper, we obtain a new class of functions, which is developed via the Hermite--Hadamard inequality for convex functions. The well-known one-one correspondence between the class of operator monotone functions and ...

    Cartesian decomposition and Numerical radius inequalities 

    Type: Journal Paper
    Author : Fuad Kittaneh; محمد صال مصلحیان; Takeaki yamazaki; Mohammad Sal Moslehian
    Year: 2015
    Abstract:

    We show that if $T=H+iK$ is the Cartesian decomposition of $T\\in \\mathbb{B(\\mathscr{H})}$, then for $\\alpha ,\\beta \\in \\mathbb{R}$, $\\sup_{\\alpha ^{2}+\\beta

    ^{2}=1}\\Vert \\alpha H+\\beta K\\Vert =w(T)$. ...

    Some generalized numerical radius inequalities for Hilbert space operators 

    Type: Journal Paper
    Author : مصطفی ستاری; محمد صال مصلحیان; Takeaki Yamazaki; mostafa sattari; Mohammad Sal Moslehian
    Year: 2015
    Abstract:

    We generalize several inequalities involving powers of the numerical radius for product of two operators acting on a Hilbert space. For any A,B,X∈B(H) such that A,B are positive, we establish some numerical radius inequalities ...

    Norm inequalities related to p-Schatten class 

    Type: Journal Paper
    Author : Cristian Conde; محمد صال مصلحیان; Mohammad Sal Moslehian
    Year: 2016
    Abstract:

    In this paper, we obtain some refinements of the known operator inequalities for the $p$-Schatten class. In addition, we obtain an approach to the inequalities conjectured by Audenaert and Kittaneh for the $p$-Schatten class.

    Variants of Ando–Hiai inequality for operator power means 

    Type: Journal Paper
    Author : Mohsen Kian; محمد صال مصلحیان; Yuki Seo; Mohsen Kian; Mohammad Sal Moslehian; Yuki Seo
    Year: 2019
    Abstract:

    ‎It is known that for every $t\\\\\\\\in (0,1]$ and every $k$-tuple of positive invertible operators ${\\\\\\\\Bbb A}=(A_1,\\\\\\\\ldots,A_k)$‎ , ‎the Ando--Hiai type inequality for operator power means‎
    ‎\\\\\\\\[ ...

    An operator Karamata inequality 

    Type: Journal Paper
    Author : محمد صال مصلحیان; Marek Niezgoda; Rajna Rajic; Mohammad Sal Moslehian
    Year: 2014
    Abstract:

    We present an operator version of the Karamata inequality. More

    precisely, we prove that if $A$ is a selfadjoint element of a unital

    C^* -algebra mathscr{A} , rho is a state on mathscr{A} , the

    functions ...

    Numerical radius inequalities for products of Hilbert space operators 

    Type: Journal Paper
    Author : Amer Abu-Omar and Fuad Kittaneh
    Publisher: Theta Foundation
    Year: 2014

    An investigation of unitarily invariant norm inequalities of Lowner--Heinz type 

    Type: Journal Paper
    Author : M. Fujii; محمد صال مصلحیان; R. Nakamoto; M. Tominaga; Mohammad Sal Moslehian
    Year: 2014
    Abstract:

    We utilize some $2 \\times 2$ matrix tricks to obtain several unitarily invariant norm inequalities corresponding to the L\\"{o}wner--Heinz inequality, the arithmetic--geometric mean inequality and the Corach--Porta--Recht ...

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