We explore the role of majorization theory in quantum phase space. To this purpose, we restrict ourselves to states with positive Wigner functions and show that continuous version provides an elegant very natural approach exploring information-theoretic properties After identifying all Gaussian pure as equivalent precise sense majorization, which can be understood light Hudson's theorem, conjec...

A lower bound on the chromatic number of a graph is derived by majorization of spectra of weighted adjacency matrices. These matrices are given by Hadamard products of the adjacency matrix and arbitrary Hermitian matrices.

We apply some eigenvalue inequalities to the real parts of the Frobenius companion matrices of monic polynomials to establish new bounds and a majorization for the real parts of the zeros of these polynomials.

In the present paper, we investigate the majorization properties for certain classes of multivalent analytic functions defined by a new operator. Moreover, we pointed out some new and known consequences of our main result.

Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a log-majorization result. The thermodynamic inequality is generalized and a chain of equivalent statements involving this inequality and the Peierls-Bogoliubov inequality is obtained.