Hardy--Hilbert type inequalities for Hilbert space operators

A Note on Quadratic Maps for Hilbert Space Operators

In this paper, we introduce the notion of sesquilinear map on Β(H) . Based on this notion, we define the quadratic map, which is the generalization of positive linear map. With the help of this concept, we prove several well-known equality and inequality...  

Q–norm Inequalities for Sequences of Hilbert Space Operators

We give some inequalities related to a large class of operator norms, the so-called Q norms, for a (not necessary commutative) family of bounded linear operators acting on a Hilbert space that are related to the classical Schwarz inequality. Applications for vector inequalities are also provided.

Hardy-hilbert Type Inequalities with Fractional Kernel in R

The main objective of this paper is some new special Hilbert-type and HardyHilbert-type inequalities in (R) with k ≥ 2 non-conjugate parameters which are obtained by using the well known Selberg’s integral formula for fractional integrals in an appropriate form. In such a way we obtain extensions over the whole set of real numbers, of some earlier results, previously known from the literature, ...

Singular value inequalities for commutators of Hilbert space operators

Article history: Received 25 July 2008 Accepted 16 December 2008 Available online 30 January 2009 Submitted by R.A. Brualdi AMS classification: 47A30 47A63 47B10 47B15 47B47

A Hardy-Hilbert Type Inequality