λ-Properties of Orlicz sequence spaces

• Autorzy: Shutao Chen , Huiying Sun
• Języki publikacji: EN

Abstrakty

EN

It is proved that every Orlicz sequence space has the λ-property. Criteria for the uniform λ-property in Orlicz sequence spaces, with Luxemburg norm and Orlicz norm, are given.

Słowa kluczowe

EN

Orlicz function; Orlicz sequence space; extreme point; λ-property

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1994
• Tom: 59
• Numer: 3
• Strony: 239-249

Daty

wydano

1994

otrzymano

1993-05-06

Twórcy

autor

Shutao Chen

• Department of Mathematics, Harbin Normal University, Harbin, China

autor

Huiying Sun

• Department of Mathematics, Harbin Institute of Technology, Harbin, China

Bibliografia

• [1] R. M. Aron and R. H. Lohman, A geometric function determined by extreme points of the unit ball of a normed space, Pacific J. Math. 127 (1987), 209-231.
• [2] R. M. Aron, R. H. Lohman and A. Suárez, Rotundity, the C.S.R.P., and the λ-property in Banach spaces, Proc. Amer. Math. Soc. 111 (1991), 151-155.
• [3] S. Chen and Y. Shen, Extreme points and rotundity of Orlicz spaces, J. Harbin Normal Univ. 2 (1985), 1-5.
• [4] S. Chen, H. Sun and C. Wu, λ-property of Orlicz spaces, Bull. Polish Acad. Sci. Math. 39 (1991), 63-69.
• [5] A. Suárez, λ-property in Orlicz spaces, ibid. 37 (1989), 421-431.
• [6] Z. Wang, Extreme points of sequence Orlicz spaces, J. Daqing Petroleum College 1 (1983), 112-121.
• [7] C. Wu and H. Sun, On the λ-property of Orlicz space $L_M$, Comment. Math. Univ. Carolin. 31 (1990), 731-741.
• [8] C. Wu, T. Wang, S. Chen and Y. Wang, Geometry of Orlicz Spaces, Harbin Institute of Technology Press, Harbin, 1986.