A noncommutative generalization of Hunter's positivity theorem
Year: 2025
Type: preprint
Abstract: 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 variables are replaced with hermitian operators. We provide a sharp lower bound and a sum of hermitian squares representation that are novel even in the scalar case.
Source: arXiv (Cornell University)
Authors: Garcia, Stephan Ramon, Volčič, Jurij
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6910728105
Cites:
Cited by:
Related to: