30 Apr
2016
30 Apr
'16
11:26 a.m.
This is an announcement for the paper “Isomorphic copies of $l^\infty$ in Cesàro-Orlicz function spaces” by Tomasz kiwerski and Pawel Kilwicz.
Abstract: We characterize Ces$`$aro-Orlicz function spaces $C_{es_{\phi}}$ containing isomorphic copy of $\ell_{\infty}$. We also describe the subspaces $C_{es_{\phi}}$ of all order continuous elements of $C_{es_{\phi}}$. Finally, we study the monotonicity structure of the spaces $C_{es_{\phi}}$ and $(C_{es_{\phi}})_a$.
The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1604.07257