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The Matricial Range of
Martin Argerami
The matricial range of the matrix (i.e., the unilateral shift) is described very simply: it consists of all matrices with numerical radius at most $…
Majorisation and Kadison's Carpenter's Theorem
Martín Argerami
We discuss Kadison's Carpenter's Theorems in the context of majorisation, and we offer a new proof of his "Theorem 15", that characterizes the set of diagonals of orthogonal projec…
Schur-Horn theorems in II-factors
Martin Argerami, Pedro Massey
We describe majorization between selfadjoint operators in a -finite II factor in terms of simple spectral relations. For a diffuse abelian von Neumann…
Towards the Carpenter's Theorem
Martin Argerami, Pedro Massey
Let M be a II_1 factor, A a masa in M and E the unique conditional expectation on A. Under some technical assumptions on the inclusion of A in M, which hold true for any semiregula…
The local form of doubly stochastic maps and joint majorization in II factors
Martin Argerami, Pedro Massey
We find a description of the restriction of doubly stochastic maps to separable abelian -subalgebras of a II factor $\cM$. We use this local form of doubly stochastic maps…
A Schur-Horn type theorem for II factors
M. Argerami, P. Massey
Given a II factor M and a masa A of M, we prove a version of the Schur-Horn Theorem, together with a contractive version. These results are inspired on a recent conjecture of A…