4 citations · 6 across the 6 of their papers we have counts for
6 papers
Bi-isometries and commutant lifting
H. Bercovici, R. G. Douglas, C. Foias
A new functional model for pairs of commuting isometries is described. Intertwining operators between such models are then studied in order to approach the classification of invari…
On freely indecomposable measures
Hari Bercovici, Jiun-Chau Wang
We show that a probability measure is not a nontrivial free additive convolution if it puts no mass in an interval whose endpoints are atoms. The analogous results for free multipl…
The Horn conjecture for compact selfadjoint operators
H. Bercovici, W. S. Li, D. Timotin
We determine the possible eigenvalues of compact selfadjoint operators A,B,C... with the property that A=B+C+... When all these operators are positive, the eigenvalues were known t…
The asymptotic behavios of free convolution
Hari Bercovici, Jiun-Chau Wang
We give a streamlined proof of the limit theorems for the free additive convolution of infinitesimal triangular arrays of probability measures on the real line. The result was firs…
Limit theorems for free multiplicative convolutions
Hari Bercovici, Jiun-Chau Wang
We determine the distributional behavior for products of free random variables in a general infinitesimal triangular array. In the case of positive variables, the main theorem exte…
Multiplicative Monotone Convolution
Hari Bercovici
We show that the monotonic independence introduced by Muraki can also be used to define a multiplicative convolution. We also find a method for the calculation of this convolution…