English

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

Functional Analysis 2009-09-25 v1

Abstract

We study certain twisted sums of Orlicz spaces with non-trivial type which can be viewed as Fenchel-Orlicz spaces on R2{\rm {\bf R}}^2. We then show that a large class of Fenchel-Orlicz spaces on Rn{\rm {\bf R}}^n can be renormed to have property (M). In particular this gives a new construction of the twisted Hilbert space Z2Z_2 and shows it has property (M), after an appropriate renorming.

Keywords

Cite

@article{arxiv.math/9607206,
  title  = {Twisted sums, Fenchel-Orlicz spaces and property (M)},
  author = {George Androulakis and C. D. Cazacu and Nigel J. Kalton},
  journal= {arXiv preprint arXiv:math/9607206},
  year   = {2009}
}