Orlicz-Bochner sequence spaces that have the uniform λ-property

• Autorzy: Shi Z. , Zhang P.
• Języki publikacji: EN

Abstrakty

EN

Necessary and sufficient conditions in order that Orlicz-Bochner sequence spaces equipped with Luxemburg norm have the uniform [lambda] property are given.

Słowa kluczowe

EN

lambda property; uniform lambda property; Orlicz sequence space; Luxemburg norm

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr spec.
• Strony: 215--227
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Shi Z.

• Department of Mathematics, ShangHai University, ShangHai, 200436, CN

autor

Zhang P.

• Department of Mathematics, ShangHai University, ShangHai, 200436, CN

Bibliografia

• [1] R. M. Aron, R. H. Lohman, A geometrie function determined by extreme points of the unit ball of a normed space, Pacific J. Math. 127 (1987), 209-231.
• [2] A.S. Granero, λ-property in Orlicz spaces, Bull. Polish Acad. Sci. Math. 37 (1989), 421-431.
• [3] S. Chen, H. Sun and C. Wu, λ-property of Orlicz spaces, Bull. Polish Acad. Sci. Math. 39 (1991), 63-69.
• [4] S. Chen and H. Sun, λ-property of Orlicz seguence spaces, Annales Polon. Math. 59 (1994), 239-249.
• [5] S. Chen, Geometry of Orlicz spaces, Dissertationes Math., Warszawa, Poland.
• [6] Y. Liu, Z. Shi and P. Zhang, Rotundity of Orlicz-Bochner spaces with Luxemburg norm, J. ShangHai Univ. (English Edition) 7 (4) (2003), 322-326.
• [7] H. Hudzik and M. Mastyło, Strongly extreme points in Kothe-Bochner spaces, Rocky Mountain J. Math. 23 (1993), 899-909.
• [8] Krasnoselskiĭ M. A. and Rutickiĭ Y. B., Convex Functions and Orlicz Spaces, P. Noordhoff Ltd., Groningen, 1961.

Uwagi

Dedicated to Professor Julian Musielak on his 75th birthday.