International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 2, Pages 241-254
doi:10.1155/S0161171292000310

Linear functionals on Orlicz sequence spaces without local convexity

Marian Nowak

Institute of Mathematics, A. Mickiewicz University, Matejki 48/49, Poznań 60-769, Poland

Abstract

The general form of continuous linear functionals on an Orlicz sequence space 1ϕ (non-separable and non-locally convex in general) is obtained. It is proved that the space hϕ is an M-ideal in 1ϕ.