Multivariable Schur–Horn theorems
Multivariable Schur–Horn theorems
We prove a variety of results describing the diagonals of tuples of commuting hermitian operators in type II 1 factors. These results, motivated by work of Arveson and Kadison, are generalizations of the classical Schur-Horn theorem to the infinite-dimensional, multivariable setting. Our description of these possible diagonals uses a natural …