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

Abstract

We characterize Cesàro-Orlicz function spaces $Ce{s}_{\phi }$ containing isomorphic copy of $l^{\infty }$. We also describe the subspaces $(Ce{s}_{\phi }{)}_a$ of all order continuous elements of $Ce{s}_{\phi }$. Finally, we study the monotonicity structure of the spaces $Ce{s}_{\phi }$ and $(Ce{s}_{\phi }{)}_a$.

12 pages, submitted

Cited by in corpus (1)

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