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

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

1996-07-11

arxiv.org/abs/math/9607206v1

Mathematics

Functional Analysis

Scientific paper

We study certain twisted sums of Orlicz spaces with non-trivial type which can be viewed as Fenchel-Orlicz spaces on ${\rm {\bf R}}^2$. We then show that a large class of Fenchel-Orlicz spaces on ${\rm {\bf R}}^n$ can be renormed to have property (M). In particular this gives a new construction of the twisted Hilbert space $Z_2$ and shows it has property (M), after an appropriate renorming.

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