In this paper, we show a multiple-term refinement of Young?s type inequality and its reverse via the Kantorovich constants, which extends unifies two recent important results due to L. Nasiri et al. (Result. Math (74), 2019), C. Yang (Journal. Math. Inequalities, (14), 2020). An application these scalars give inequalities for operators, Hilbert-Schmidt norms, traces unitarily invariant norms.

In this paper, we show Hilbert C∗-module versions of Hölder– McCarthy inequality and its complementary inequality. As an application, we obtain Hölder type inequalities and its reverses on a Hilbert C∗-module.

The operator-valued Schur-class is defined to be the set of holomorphic functions S mapping the unit disk into the space of contraction operators between two Hilbert spaces. There are a number of alternate characterizations: the operator of multiplication by S defines a contraction operator between two Hardy Hilbert spaces, S satisfies a von Neumann inequality, a certain operator-valued kernel ...

*Correspondence: [email protected] 1School of Mathematical Science, Huaibei Normal University, Huaibei, 235000, P.R. China Full list of author information is available at the end of the article Abstract By introducing two pairs of conjugate exponents and estimating the weight coefficients, we establish reverse versions of Hilbert-type inequalities, as described by Jin (J. Math. Anal. Appl. 340:...

Abstract In this paper we show that every conjugation C on the Hardy-Hilbert space H 2 is of type = T *