116 citations · 1.1k across the 72 of their papers we have counts for
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math.OA2014★ 1 cited
On trace-convex noncommutative polynomials
Igor Klep, Scott A. McCullough, Christopher S. Nelson
To each real continuous function f there is an associated trace function on real symmetric matrices Tr f. The classical Klein lemma states that f is convex if and only if Tr f is c…
math.OA2014★ 19 cited
The Tracial Hahn-Banach Theorem, Polar Duals, Matrix Convex Sets, and Projections of Free Spectrahedra
J. William Helton, Igor Klep, Scott McCullough
This article investigates matrix convex sets and introduces their tracial analogs which we call contractively tracial convex sets. In both contexts completely positive (cp) maps pl…