3 papers
math.OC2026
The Effective Lasserre's Perturbative Positivstellensatz
Igor Klep, Victor Magron, Matthias Schötz
We study sum-of-squares (SOS) certificates for nonnegative polynomials on and their implications for polynomial optimization over unbounded domains. Building on…
math.RA2024
Rings of almost everywhere defined functions
Matthias Schötz
The following representation theorem is proven: A partially ordered commutative ring is a subring of a ring of almost everywhere defined continuous real-valued functions on a c…
math.FA2019
Universal Continuous Calculus for Su*-Algebras
Matthias Schötz
Universal continuous calculi are defined and it is shown that for every finite tuple of pairwise commuting Hermitian elements of a Su*-algebra (an ordered *-algebra that is symmetr…