Lieb Function Inequalities for the Sum of Operators and the Sum of Absolute Values
In order to study the Lieb function inequalities of the sum of operators and the sum of absolute values,Lieb function inequalities related to the sum of operators and the sum of their absolute values are obtained by using the equivalent of Lieb function and the technique of block operator matrix.These inequalities generalize the previous results of Lieb,Horn et al.Furthermore,there is an improvement of numerical radius inequality about Abu-Omar and Kittaneh for operator matrix given in this paper,which enriches the theory of matrix inequalities.