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2007/2008 On Luzinʼs (N)-Property of the Sum of Two Functions
Dušan Pokorný
Real Anal. Exchange 33(1): 23-28 (2007/2008).


We prove that, for any nonconstant continuous function $f,$ there exists a continuous N-function $g$ such that $f+g$ is not an N-function. This answers a query by F. S. Cater.


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Dušan Pokorný. "On Luzinʼs (N)-Property of the Sum of Two Functions." Real Anal. Exchange 33 (1) 23 - 28, 2007/2008.


Published: 2007/2008
First available in Project Euclid: 28 April 2008

zbMATH: 1147.26001
MathSciNet: MR2402860

Primary: 26A99

Keywords: Lusinʼs (N)-Property

Rights: Copyright © 2007 Michigan State University Press

Vol.33 • No. 1 • 2007/2008
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