On some convexity properties in the Besicovitch-Musielak-Orlicz space of almost periodic functions with Luxemburg norm

被引：0

作者：

Bedouhene, Fazia ^{[1
]}

Daoui, Amina ^{[1
]}

Kourat, Hocine ^{[1
]}

机构：

[1] Mouloud Mammeri Univ, Dept Math, Fac Sci, Tizi Ouzou, Algeria

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2012年 / 53卷 / 04期

关键词：

local uniform convexity; uniform convexity in every direction; mid point locally uniform; H-property; strict convexity; approximation; Besicovitch-Musielak-Orlicz space; almost periodic function;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, it is shown that geometrical properties such as local uniform convexity, mid point local uniform convexity, H-property and uniform convexity in every direction are equivalent in the Besicovitch-Musielak-Orlicz space of almost periodic functions ((B) over tilde (phi) a.p.) endowed with the Luxemburg norm.

引用

页码：535 / 547

页数：13

共 15 条

[1]

Bedouhene F, 2010, COMMENT MATH UNIV CA, V51, P25

[2]

Chen S, 1996, DISSERTATIONES MATH, V356

[3]

Cui Y.T, 1998, SCI MATH, V1, P339

[4]

Daoui A., DUALITY PROPERTIES R

[5] NORMED LINEAR SPACES THAT ARE UNIFORMLY CONVEX IN EVERY DIRECTION [J].

DAY, MM ;

JAMES, RC ;

SWAMINAT.S .

CANADIAN JOURNAL OF MATHEMATICS, 1971, 23 (06) :1051-&

[6] SOME GEOMETRIC PROPERTIES OF THE SPHERES IN A NORMED LINEAR SPACE [J].

FAN, K ;

GLICKSBERG, I .

DUKE MATHEMATICAL JOURNAL, 1958, 25 (04) :553-568

[7]

Hillmann T. R., 1986, WILEY SER PROBAB MAT, P119

[8]

Kaminska A., 1984, REND CIRC MAT P 2 S5, P63

[9]

Megginson R. E., 1998, GRAD TEXT M, V183, DOI 10.1007/978-1-4612-0603-3

[10]

Morsli M, 2006, COMMENT MATH PRACE M, V46, P215

← 1 2 →