On the generalized Nakano sequence space

• Autorzy: Sengonul M.
• Języki publikacji: EN

Abstrakty

EN

The purpose of this note is to define and to investigate the generalized Nakano sequence space A(p) and to show that the sequence space A(p) eąuipped with the Luxemburg norm is rotund and posses property-H when p = (pk) is bounded with pk > 1 for all k is an element of N.

Słowa kluczowe

EN

modular space; Banach space; Nakano space

PL

przestrzeń modularna; przestrzeń Banacha; przestrzeń Nakano

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 4
• Strony: 885--893
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Sengonul M.

• International Turkish Scool, Riyadh, Saudi Arabia,

Bibliografia

• [1] S. T. Chen, Geometry of Orhcz spaces, Dissertationes Math., 1996, pp. 356.
• [2] B. Cohuldhary and S. Nanda, Functional Analysis with Applications, John Wiley & Sons Inc. New Delhi. 1989.
• [3] Y. A. Cui, H. Hudzik and R. Pluciennik, Banach-Saks property m some Banach sequence spaces, Ann. Math. Polon. Sci. 65 (1997), 193-202.
• [4] Y. A. Cui and C. Meng, Banach-Saks property (β) in Cesaro sequence spaces, SEA. Bull. Math. Tamkang J. Math. 24 (2000), 201-210.
• [5] Y. Q. Lui, B. E. Wu and Y. P. Lee, Method of sequence spaces, Guangdong of Science and Technology Press, (in Chine) 1996.
• [6] J. Musielak, Orlicz spaces and modular spaces, Lecture Notes in Math. 1034(1983).
• [7] J. Musielak and W. Orlicz, On modular spaces, Studia Math. 18 (1959), 49-65.
• [8] H. Nakano, Modulared semi-ordered spaces, Tokyo 1950.
• [9] R. Pluciennik, T. F. Wang and Y. L. Zhang, H-points and denting points in Orlicz spaces, Comraent Math. Prace Mat. 33 (1993), 135-151.
• [10] B. Prus, Banach space with uniform Opial property, Nonlinear Anal. 8 (1992), 679-704.
• [11] W. Sanhan, On geometric properties some Banach sequence spaces, Thesis for the degree of Master of Science in Mathematics, Chiang Mai University, 2000.
• [12] J. S. Shue, Cesaro sequence spaces, Tamkang J. Math. 1 (1970), 143-150.
• [13] A. Wilansky, Summability through Functional Analysis, North-Holland Mathematics Studies, 85, Amsterdam-New York-Oxford, 1984.