Powiadomienia systemowe
- Sesja wygasła!
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
Let l^phi be the Orlicz Sequence space generated by a N-function Phi(u) equipped with the Orlicz norm, phi be the right derivative of Phi. We show that the nonsquare constants Cj (l^phi] in the sense of James and Cj (l^phi ) in the sense of Schaffer satisfy: (i) if phi is concave, then Cj(l^phi) = sup inf [...], (ii) if phi is convex, then Cs(l^phi) = inf inf [...]. With this result we obtain some formulae for practical computation of non-square constants.
Wydawca
Rocznik
Tom
Strony
233--246
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
- Department of Mathematics, Suzhou University, Suzhou, Jiangsu, 215006, P. R. China
Bibliografia
- [1] S. T. Chen, Non-squareness of Orlicz spaces, Chinese Ann. Math. Ser. A, 6 (1985) 619-624.
- [2] S. T. Chen, Geometry of Orlicz spaces, Dissertationes Math. (Rozprawy Mat.), 356 (1996) 17-23.
- [3] Y. A. Cui, Weakly convergent sequence coefficient in Köthe sequence spaces, Proc. Amer. Math. Soc., 126 (1) (1998) 195-210.
- [4] J. Gao, K. S. Lau, On the geometry of spheres in normed linear spaces, J. Austral. Math. Soc. Ser. A, 48 (1990) 101-112.
- [5] H. Hudzik, Uniformly non-l(1)n Orlicz spaces with Luxemburg norm, Studia. Math., 81 (1985) 271-284.
- [6] D. H. Ji, T. F. Wang, Nonsquare constants of normed spaces, Acta. Sci. Math. (Szeged), 59 (1994) 719-723.
- [7] D. H. Ji, D. P. Zhan, Some equivalent representations of nonsquare constants and its applications, Northeast. Math. J., 15 (4) (1999) 439-444.
- [8] M. A. Krasnoselskiĭ, Ya. B. Rutickiĭ, Convex Functions and Orlicz Spaces, Noordhoff, Groningen 1961.
- [9] M. M. Rao, Z. D. Ren, Packing in Orlicz sequence spaces, Studia Math., 126 (1997) 235-251.
- [10] Z. D. Ren, Nonsquare constants of Orlicz spaces, Lecture Notes in Pure and Appl. Math., 186 (1997) 179-197.
- [11] J. J. Schäffer, Geometry of spheres in normed spaces, Lect. Notes in Pure and Appl. Math., 20 (1976).
- [12] T. F. Wang, Packing constants of Orlicz sequence spaces (in Chinese), Chinese Ann. Math. Ser. A, 8 (1987) 508-513.
- [13] Y. W. Wang, S. T. Chen, Non squareness B-convexity and flatness of Orlicz spaces, Comment. Math. Prace. Mat., 28 (1988) 155-165.
- [14] Y. Q. Yan, Some results on packing in Orlicz sequence spaces, Studia Math., 147 (1) (2001) 73-88.
- [15] Y. Q. Yan, Computation of nonsquare constants of Orlicz spaces, J. Austral. Math. Soc. Ser. A. to appear.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0001-0064