On some local geometry of Musielak-Orlicz sequence spaces

• Autorzy: Dhompongsa S. , Saejung S.
• Języki publikacji: EN

Abstrakty

EN

Criteria for strong U-points, LUR-points, WLUR-points, CLUR-points and WCLUR-points in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are given.

Słowa kluczowe

EN

strong U-point; LUR-point; WLUR-point; CLUR-point; WCLUR-point; Musielak-Orlicz sequence space

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2003
• Tom: [Z] 43(1)
• Strony: 43--62
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Dhompongsa S.

• Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

autor

Saejung S.

• Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

Bibliografia

• [1] S. Chen, Geometry of Orlicz Spaces, Dissertationes Math. (Rozprawy Mat.) 356, 1996.
• [2] Y. Cui, H. Hudzik, and C. Meng, Some local geometry of Orlicz sequence spaces equipped with the Luxemburg norm, Acta Math. Hungar. 80 (1-2) (1998), 143-154.
• [3] M. Denker and H. Hudzik, Uniformly non-ln(1) Musielak-Orlicz sequence spaces, Proc. Indian Acad. Sci. Math. 101 (1991), 71-86.
• [4] S. Dhompongsa, Convexity properties of Nakano spaces, Science Asia 26 (2000), 21-31.
• [5] R. Grząślewicz, H. Hudzik, and W. Kurc, Extreme and exposed points in Orlicz spaces, Canad. J. Math. 44 (3) (1992), 505-515.
• [6] A. Kamińska, Rotundity of sequence Musielak-Orlicz spaces, Bull. Polish Acad. Sci. Math. 29 (1981), 137-144.
• [7] A. Kamińska, Uniform rotundity of Musielak-Orlicz sequene spaces, J. Approx. Theory. 47 (1986), 302-322.
• [8] J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Math. No. 1034, 1987.
• [9] S. Saejung and S. Dhompongsa, Extreme points and related properties in Musielak-Orlicz sequence spaces, Acta Math. Vietnam., 27 (2002), 219-229.
• [10] J. Wang and T. Wang, WM property of Musielak-Orlicz sequence space, Far East J. Math. Sci. 5 (1997), 475-496.