MATRIX TRANSFORMATIONS ON LACUNARY ORLICZ SEQUENCE SPACES AND THEIR TOEPLITZ DUALS

被引:0
|
作者
Raj, Kuldip [1 ]
Anand, Renu [1 ]
Sharma, Charu [1 ]
机构
[1] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, J&K, India
来源
HOUSTON JOURNAL OF MATHEMATICS | 2019年 / 45卷 / 03期
关键词
Orlicz function; paranorm space; AK-property; monotone norm; beta-; gamma-; duals; matrix transformations; INCLUDE;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to study some lacunary sequence spaces originated with infinite matrices and a sequence of Orlicz functions. We make an effort to study some algebraic and topological properties of these sequence spaces. Some inclusion relations are also establish between these spaces. Furthermore, we compute the beta-, gamma-duals and matrix transformations of these spaces.
引用
收藏
页码:831 / 851
页数:21
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