New trace norm inequalities for 2 x 2 blocks of diagonal matrices

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69533Several new trace norm inequalities are established for 2n x 2n block matrices, in the special case where the four n x n blocks are diagonal. Some of the inequalities are non-commutative analogs of Hanner's inequality, others describe the behavior of the trace norm under re-ordering of diagonal entries of the blocks.Classical Analysis and ODEsNew trace norm inequalities for 2 x 2 blocks of diagonal matricestext