On some new difference sequence spaces of non-absolute type

被引：71
|
作者：
Mursaleen, M. [1 ]
Noman, Abdullah K. [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 3-4期
关键词：
Sequence spaces; Schauder basis; alpha-beta- and gamma-duals; Matrix transformations; MATRIX TRANSFORMATIONS; INCLUDE; L(P);
D O I：
10.1016/j.mcm.2010.04.006
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In the present paper, we introduce the spaces c(0)(lambda)(Delta) and c(lambda)(Delta) of difference sequences which are the BK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spaces c(0) and c, respectively. We also derive some inclusion relations. Furthermore, we determine the alpha-, beta- and gamma-duals of those spaces and construct their bases. Finally, we characterize some matrix classes concerning the spaces c(0)(lambda)(Delta) and c(lambda)(Delta). (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：603 / 617
页数：15
相关论文
共 50 条
  • [31] Some properties of generalized Fibonacci sequence spaces
    Kara, Emrah Evren
    Ilkhan, Merve
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (11): : 2208 - 2223
  • [32] Some topologic and geometric properties of new Catalan sequence spaces
    Karakas, Murat
    Dagli, Muhammet Cihat
    ADVANCES IN OPERATOR THEORY, 2023, 8 (01)
  • [33] Some topological and geometrical properties of new Banach sequence spaces
    Emrah Evren Kara
    Journal of Inequalities and Applications, 2013
  • [34] On some new paranormed euler sequence spaces and Euler Core
    Serkan Demiriz
    Celal Çakan
    Acta Mathematica Sinica, English Series, 2010, 26 : 1207 - 1222
  • [35] On Some New Paranormed Euler Sequence Spaces and Euler Core
    Serkan DEMIRIZ
    Celal CAKAN
    Acta Mathematica Sinica(English Series), 2010, 26 (07) : 1207 - 1222
  • [36] Some topologic and geometric properties of new Catalan sequence spaces
    Murat Karakas
    Muhammet Cihat Dağlı
    Advances in Operator Theory, 2023, 8
  • [37] Some paranormed Euler sequence spaces of difference sequences of order m
    Karakaya, Vatan
    Savas, Ekrem
    Polat, Harun
    MATHEMATICA SLOVACA, 2013, 63 (04) : 849 - 862
  • [38] Sequence Spaces and Spectrum of q-Difference Operator of Second Order
    Alotaibi, Abdullah
    Yaying, Taja
    Mohiuddine, Syed Abdul
    SYMMETRY-BASEL, 2022, 14 (06):
  • [39] On New Difference Sequence Spaces via Ces?ro Mean
    Baliarsingh, Pinakadhar
    Nanda, Sudarsan
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [40] A SET OF NEW PARANORMED DIFFERENCE SEQUENCE SPACES AND THEIR MATRIX TRANSFORMATIONS
    Baliarsingh, P.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2013, 6 (03)
12345