116 citations · 1.1k across the 72 of their papers we have counts for
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Values of Noncommutative Polynomials, Lie Skew-Ideals and the Tracial Nullstellensatz
Matej Bresar, Igor Klep
A subspace of an algebra with involution is called a Lie skew-ideal if it is closed under Lie products with skew-symmetric elements. Lie skew-ideals are classified in central simpl…
The Procesi-Schacher conjecture and Hilbert's 17th problem for algebras with involution
Igor Klep, Thomas Unger
In 1976 Procesi and Schacher developed an Artin-Schreier type theory for central simple algebras with involution and conjectured that in such an algebra a totally positive element…
Noncommutative ball maps
J. William Helton, Igor Klep, Scott McCullough +1
In this paper, we analyze problems involving matrix variables for which we use a noncommutative algebra setting. To be more specific, we use a class of functions (called NC analyti…
Determinant Expansions of Signed Matrices and of Certain Jacobians
J. William Helton, Igor Klep, Raul Gomez
This paper treats two topics: matrices with sign patterns and Jacobians of certain mappings. The main topic is counting the number of plus and minus coefficients in the determinant…