2 papers
math.FA2025
A noncommutative generalization of Hunter's positivity theorem
Stephan Ramon Garcia, Jurij VolÄiÄ
Hunter proved that the complete homogeneous symmetric polynomials of even degree are positive definite. We prove a noncommutative generalization of this result, in which the scalar…
math.RA2025
Global structure behind pointwise equivalences of noncommutative polynomials
Eli Shamovich, Jurij VolÄiÄ, Jurij Volčič
This paper investigates the interplay between local and global equivalences on noncommutative polynomials, the elements of the free algebra. When the latter are viewed as functions…