On extension of polynomial functions

DOI10.1007/BF03323050zbMath0829.39006MaRDI QIDQ1895192

Roman Ger

Publication date: 25 January 1996

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniquenessfunctional equationextensionpolynomial functions\(Q\)-convexity\(Q\)-linear spaces

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52) Difference operators (39A70) Linear difference operators (47B39)

Related Items

Paul Erdős on functional equations: Contributions and impact ⋮ On local automorphisms of some quantum mechanical structures of Hilbert space operators ⋮ On solutions of the Fréchet functional equation ⋮ A functional definition of polynomial for connected Lie groups ⋮ The arithmetic, geometric and harmonic means in operator algebras and transformations among them ⋮ A note on classical and \(p\)-adic Fréchet functional equations with restrictions ⋮ Preservers of the p-power and the Wasserstein means on 2x2 matrices ⋮ On polynomial congruences ⋮ On Montel and Montel-Popoviciu theorems in several variables ⋮ Representation theorems for \(t\)-wright convexity ⋮ On dissimilarities of the conventional and Kubo-Ando power means in operator algebras ⋮ Maps preserving the harmonic mean or the parallel sum of positive operators

Cites Work

• Boundedness and continuity of additive and convex functionals
• On vanishing n-th ordered differences and Hamel bases
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