Abstract. By giving the sufficient and necessary condition of URED for Orlicz sequence spaces endowed with Orlicz norm, we solve the open problem posed in [3].

AMS Subject Classification (1991): 46E30

Keyword(s): Orlicz sequence space, uniform rotundity in every direction

Received January 6, 1992 and in revised from May 21, 1993. (Registered under 5582/2009.)