116 citations · 470 across the 86 of their papers we have counts for
90 papers
On operator valued Haar unitaries and bipolar decompositions of R-diagonal elements
Ken Dykema, John Griffin
In the context of operator valued W*-free probability theory, we study Haar unitaries, R-diagonal elements and circular elements. Several classes of Haar unitaries are differentiat…
Some non-spectral DT-operators in finite von Neumann algebras, II: measures with atoms
Ken Dykema, Amudhan Krishnaswamy-Usha
Results about angles between Haagerup--Schultz projections for DT-operators whose measures have atoms are proved, which in some cases imply that such operators are non-spectral. Se…
Classifying minimal vanishing sums of roots of unity
Louis Christie, Kenneth J. Dykema, Igor Klep
A vanishing sum of roots of unity is called minimal if no proper, nonempty sub-sum of it vanishes. This paper classifies all minimal vanishing sums of roots of unity of weight at m…
Angles between Haagerup--Schultz projections and spectrality of operators
Ken Dykema, Amudhan Krishnaswamy-Usha
We investigate angles between Haagerup--Schultz projections of operators belonging to finite von Neumann algebras, in connection with a property analogous to Dunford's notion of sp…
Decomposibility and norm convergence properties in finite von Neumann algebras
Ken Dykema, Joseph Noles, Dmitriy Zanin
We study Schur-type upper triangular forms for elements, T, of von Neumann algebras equipped with faithful, normal, tracial states. These were introduced in a paper of Dykema, Suko…
Non-closure of the set of quantum correlations via graphs
Ken Dykema, Vern I. Paulsen, Jitendra Prakash
We prove that the set of quantum correlations for a bipartite system of 5 inputs and 2 outputs is not closed. Our proof relies on computing the correlation functions of a graph, wh…