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RISMore on operator Bellman inequality
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 ...
Operator Aczel inequality
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 ...
Bellman inequality for Hilbert space operators
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 ...
REVERSE CAUCHY-SCHWARZ INEQUALITIES FOR POSITIVE C*-VALUED SESQUILINEAR FORMS
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 ...