Showing math.FAShow all
3 papers · 1 filter
math.FA2025
A noncommutative generalization of Hunter's positivity theorem
Stephan Ramon Garcia, Jurij Volčič
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.FA2024
Hunter's positivity theorem and random vector norms
Ludovick Bouthat, Ángel Chávez, Stephan Ramon Garcia
A theorem of Hunter ensures that the complete homogeneous symmetric polynomials of even degree are positive definite functions. A probabilistic interpretation of Hunter's theorem s…
math.FA2022
Norms on Complex Matrices Induced by Random Vectors
Ángel Chávez, Stephan Ramon Garcia, Jackson Hurley
We introduce a family of norms on the complex matrices. These norms arise from a probabilistic framework, and their construction and validation involve probability the…