© 2020 Elsevier Inc. We discuss Ando's inequality involving operator monotone functions and demonstrate that a natural strengthening of Ando's result to uniform submajorization holds if and only if the operator monotone ...

Originally studied by Gohberg and Krein, the block projection operators admit a natural extension to the setting of quasi-normed ideals and noncommutative integration. Here, we establish several uniform submajorizationinequalities ...