116 citations · 1.1k across the 72 of their papers we have counts for
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math.FA2010★ 74 cited
Proper Analytic Free Maps
J. William Helton, Igor Klep, Scott McCullough
This paper concerns analytic free maps. These maps are free analogs of classical analytic functions in several complex variables, and are defined in terms of non-commuting variable…
math.OA2010★ 53 cited
The matricial relaxation of a linear matrix inequality
J. William Helton, Igor Klep, Scott McCullough
Given linear matrix inequalities (LMIs) L_1 and L_2, it is natural to ask: (Q1) when does one dominate the other, that is, does L_1(X) PsD imply L_2(X) PsD? (Q2) when do they have…
math.FA2010
The truncated tracial moment problem
Sabine Burgdorf, Igor Klep
We present tracial analogs of the classical results of Curto and Fialkow on moment matrices. A sequence of real numbers indexed by words in non-commuting variables with values inva…