Isometric copies of $l^{\infty }$ in Cesàro-Orlicz function spaces

Abstract

We characterize Cesàro-Orlicz function spaces $Ce{s}_{\phi }$ containing order isomorphically isometric copy of $l^{\infty }$. We discuss also some useful applicable conditions sufficient for the existence of such a copy.

16 pages. arXiv admin note: text overlap with arXiv:1604.07257

References in corpus (2)

• Local approach to order continuity in Cesàro function spaces
• Isomorphic copies of $l^{\infty }$ in Cesàro-Orlicz function spaces

Cited by in corpus (1)

• Quotients, ${\ell }_{\infty }$ and abstract Cesàro spaces