# λ-Properties of Orlicz sequence spaces

Annales Polonici Mathematici (1994)

- Volume: 59, Issue: 3, page 239-249
- ISSN: 0066-2216

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topShutao Chen, and Huiying Sun. "λ-Properties of Orlicz sequence spaces." Annales Polonici Mathematici 59.3 (1994): 239-249. <http://eudml.org/doc/262408>.

@article{ShutaoChen1994,

abstract = {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.},

author = {Shutao Chen, Huiying Sun},

journal = {Annales Polonici Mathematici},

keywords = {Orlicz function; Orlicz sequence space; extreme point; λ-property; -property; Luxemburg norm; Orlicz norm},

language = {eng},

number = {3},

pages = {239-249},

title = {λ-Properties of Orlicz sequence spaces},

url = {http://eudml.org/doc/262408},

volume = {59},

year = {1994},

}

TY - JOUR

AU - Shutao Chen

AU - Huiying Sun

TI - λ-Properties of Orlicz sequence spaces

JO - Annales Polonici Mathematici

PY - 1994

VL - 59

IS - 3

SP - 239

EP - 249

AB - 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.

LA - eng

KW - Orlicz function; Orlicz sequence space; extreme point; λ-property; -property; Luxemburg norm; Orlicz norm

UR - http://eudml.org/doc/262408

ER -

## References

top- [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. Zbl0662.46020
- [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. Zbl0758.46029
- [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.

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