Contractive maps on operator ideals and norm inequalities II

Let (I,⦀.⦀)(I,⦀.⦀) be a norm ideal of operators equipped with a unitarily invariant norm ⦀.⦀⦀.⦀. We exploit integral representations of certain functions to prove that certain ratios of linear operators acting on operators in II are contractive. This leads to some new and old norm inequalities. We also lift a variety of inequalities to the operator setting, which were proved in the matrix setting earlier.