Log-majorization type inequalities

Several inequalities have been established in the context of Hilbert spaces operators or operator algebras. Our discussion will be limited to matrices. Important inequalities in mathematics and other sciences, such as Golden-Thompson inequality or von Neumann trace inequality, and extensions, are revisited. Our main goal is to emphasize the link between majorization theory and other relevant inequalities.Portuguese Foundation for Science and Technology (FCT-Fundação para a Ciência e a Tecnologia), Centre for Mathematics of the University of Coimbra (CMUC), Center for Research and Development in Mathematics and Applications (CIDMA) , CMAT-UTADpublishe