vix.ing · top · new · best · stats · spec

Twisted sums, Fenchel-Orlicz spaces and property (M)

1996/07/11 by George Androulakis, Androulakis, George, C. D. Cazacu +3
Mathematics · #46B03 #46B20 #46B45 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B03 #msc:46B20 #msc:46B45

paper · pdf · doi:10.48550/arxiv.math/9607206

arxiv created 1996/07/11 · arxiv updated 2009/11/30

Abstract

We study certain twisted sums of Orlicz spaces with non-trivial type which can be viewed as Fenchel-Orlicz spaces on \rm \bf R2. We then show that a large class of Fenchel-Orlicz spaces on \rm \bf Rn can be renormed to have property (M). In particular this gives a new construction of the twisted Hilbert space Z2 and shows it has property (M), after an appropriate renorming.

Related