8 citations · 17 across the 7 of their papers we have counts for
7 papers
Invariant Subspaces for Operators in a General II_1-factor
Uffe Haagerup, Hanne Schultz
It is shown that to every operator T in a general von Neumann factor M of type II_1 and to every Borel set B in the complex plane, one can associate a largest, closed, T-invariant…
Brown Measures of Unbounded Operators Affiliated with a Finite von Neumann Algebra
Uffe Haagerup, Hanne Schultz
In this paper we generalize Brown's spectral distribution measure to a large class of unbounded operators affiliated with a finite von Neumann algebra. Moreover, we compute the Bro…
Semicircularity, Gaussianity and Monotonicity of Entropy
Hanne Schultz
S. Artstein, K. Ball, F. Barthe, and A. Naor have shown that if (X_j) are i.i.d. random variables, then the entropy of n^{-1/2}(X_1+....+X_n) increases as n increases. The free ana…
Brown measure and iterates of the Aluthge transform for some operators arising from measurable actions
Ken Dykema, Hanne Schultz
We consider the Aluthge transform of a Hilbert space operator , where is the polar decomposition of . We prove that the map that sends to i…
Brown measures of sets of commuting operators in a type II_1 factor
Hanne Schultz
Using the spectral subspaces obtained in [HS], Brown's results on the Brown measure of an operator in a type II_1 factor (M,tr) are generalized to finite sets of commuting operator…
A Random Matrix Approach to the Lack of Projections in C*_red(F_2)
Uffe Haagerup, Hanne Schultz, Steen Thorbjornsen
In 1982 Pimsner and Voiculescu computed the K_0- and K_1-groups of the reduced group C*-algebra C*_red(F_k) of the free group F_k on k generators and settled thereby a long standin…