We prove a contractive version of the Schur–Horn theorem for submajorization in II1 factors that complements some previous results on the Schur–Horn theorem within this context. We obtain a reformulation of a conjecture ...

Let H be a Hilbert space. Given a bounded positive definite operator S on H, and a bounded sequence c={c_k}_k∈N of nonnegative real numbers, the pair (S, c) is frame admissible, if there exists a frame {ƒ_k}_k ∈N on H with ...

We prove a variety of results describing the diagonals of tuples of commuting hermitian operators in type II 1  1 factors. These results, motivated by work of Arveson and Kadison, are generalizations of the classical ...

We describe majorization between selfadjoint operators in a semi-finite II_\infty factor (M;\tau) in terms of simple spectral relations. For a difuse abelian von Neumann subalgebra A of M that admits a (necessarily unique) ...

Let A ⊆ Mn(C) be a unital ∗-subalgebra of the algebra Mn(C) of all n×n complex matrices and let B be an hermitian matrix. Let Un(B) denote the unitary orbit of B in Mn(C) and let EA denote the trace preserving conditional ...

Let M be a II1 factor with trace τ, A⊆M a masa and EA the unique conditional expectation onto A. Under some technical assumptions on the inclusion A⊆M, which hold true for any semiregular masa of a separable factor, we ...