Positivstellensätze for real function algebras

DOI10.1007/s00209-010-0831-1zbMath1242.13029arXiv1004.4521OpenAlexW2091864717MaRDI QIDQ415477

Tim Netzer, Murray A. Marshall

Publication date: 8 May 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4521

zbMATH Keywords

sums of squarespositive polynomialssemi-algebraic functions

Mathematics Subject Classification ID

Real algebraic sets (14P05) Semialgebraic sets and related spaces (14P10) Real algebra (13J30)

Related Items (2)

Positivity and Optimization: Beyond Polynomials ⋮ On an extension of Pólya's Positivstellensatz

Cites Work

• Minimal generation of basic semialgebraic sets
• The \(K\)-moment problem for compact semi-algebraic sets
• A general representation theorem for partially ordered commutative rings
• Spaces of orderings and abstract real spectra
• Global Optimization with Polynomials and the Problem of Moments
• Positivity and Optimization for Semi-Algebraic Functions
• A representation theorem for certain partially ordered commutative rings
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