Journal of East China Normal University(Natural Sc ›› 2009, Vol. 2009 ›› Issue (1): 53-60.

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Extreme points and strongly extreme points in Orlicz sequence spaces equipped with the generalized Orlicz norm(Chinese)

DUAN Li-fen1, CUI Yun-an2   

  1. 1.Department of Mathematics, Tonghua Teachers College, Tonghua Jinlin 134002, China; 2.Applied Sciences College, Harbin Univ Sci Tech, Harbin 150080 China
  • Received:2008-05-14 Revised:2008-06-30 Online:2009-01-25 Published:2009-01-25
  • Contact: DUAN Li-fen

Abstract: For the Orlicz sequence spaces generated by a $N$-function
and equipped with the generalized Orlicz norm, criteria of extreme
points and strongly extreme points were presented. Based on the
criterias, both sufficient and necessary conditions were derived to
make these spaces be convex and mid-point locally uniform convex.

Key words: extreme point, strongly extreme point, Orlicz sequence spac, generalized Orlicz norm, extreme point, strongly extreme point, Orlicz sequence spac

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