A remark on the extension of a class of linear functionals

2016/05/02 by Hoàng Phi Dũng, Dũng, Hoàng Phi
Mathematics · Computer Science · #Advanced Optimization Algorithms Research #Optimization and Variational Analysis #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1605.00368

Abstract

We will remark an extension of a linear functional on subalgebra of algebra of continuous functions on subset of ℝⁿ which preserves positivity.

Related

• Positivstellensätze for real function algebras
• Flat extensions in *-algebras
• Representation and Approximation of Positivity Preservers
• The Sandwich Theorem for Sublinear and Superlinear Functionals
• Extension properties for monotone and sublinear operators