Polynomial Functions and the Riesz Interpolation Property

A.W. Wickstead

doi:10.1016/j.indag.2013.01.007

Polynomial Functions and the Riesz Interpolation Property

A.W. Wickstead

Research output: Contribution to journal › Article › peer-review

Abstract

Building on a proof by D. Handelman of a generalisation of an example due to L. Fuchs, we show that the space of real-valued polynomials on a non-empty set X of reals has the Riesz Interpolation Property if and only if X is bounded.

Original language	English
Pages (from-to)	395-404
Number of pages	10
Journal	Indagationes Mathematicae
Volume	25
Issue number	2
Early online date	04 Feb 2013
DOIs	https://doi.org/10.1016/j.indag.2013.01.007
Publication status	Published - 14 Mar 2013

Keywords

Riesz interpolation
Polynomials

ASJC Scopus subject areas

General Mathematics

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10.1016/j.indag.2013.01.007

Cite this

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abstract = "Building on a proof by D. Handelman of a generalisation of an example due to L. Fuchs, we show that the space of real-valued polynomials on a non-empty set X of reals has the Riesz Interpolation Property if and only if X is bounded.",

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AB - Building on a proof by D. Handelman of a generalisation of an example due to L. Fuchs, we show that the space of real-valued polynomials on a non-empty set X of reals has the Riesz Interpolation Property if and only if X is bounded.

KW - Riesz interpolation

KW - Polynomials

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DO - 10.1016/j.indag.2013.01.007

M3 - Article

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JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 2

ER -

Polynomial Functions and the Riesz Interpolation Property

Abstract

Keywords

ASJC Scopus subject areas

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Cite this