We present a Bellman inequality involving operator means for

operators acting on a Hilbert space. We also give some Bellman

inequalities concerning sesquilinear forms. Finally, we refine the

Jensen's ...

We establish several operator versions of the classical Aczel inequality. One of operator versions deals with the weighted operator geometric mean and another is related to the positive sesquilinear forms. Some applications ...

We establish some operator versions of Bellman s inequality. In particular, we prove that if Phi: mathbb{B}( mathscr{H}) to mathbb{B}( mathscr{K}) is a unital positive linear map, A,B in mathbb{B}( mathscr{H})$ are ...

We prove two new reverse Cauchy–Schwarz inequalities of additive and multiplicative

types in a space equipped with a positive sesquilinear form with values in a C∗ -algebra. We

apply our results to get some ...