Real Analysis Exchange
- Real Anal. Exchange
- Volume 21, Number 2 (1995), 629-636.
A characterization of Orlicz functions producing an additive property
It is shown that the only Luxemburg functionals that satisfy a very simply formulated property are induced by \(p\)th-power functions, \(0\lt p\lt \infty\). The known result that Orlicz spaces cannot be normed analogously to \(L_p\)-spaces follows as a consequence.
Real Anal. Exchange, Volume 21, Number 2 (1995), 629-636.
First available in Project Euclid: 14 June 2012
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Cuenya, Héctor; Marano, Miguel. A characterization of Orlicz functions producing an additive property. Real Anal. Exchange 21 (1995), no. 2, 629--636. https://projecteuclid.org/euclid.rae/1339694091