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 ...

‎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 ...

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 ...

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)$. ...

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 ...

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.

‎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
‎\\\\\\\\[ ...

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 ...

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 ...