Compact Operators on Riesz Dfference Sequence Space of Fractional Order

被引：0
|
作者：
Yaying, Taja [1 ]
Cakalli, Huseyin [2 ]
机构：
[1] Dera Natung Govt Coll, Dept Math, Itanagar 791111, Arunachal Prade, India
[2] Maltepe Univ, Inst Sci & Technol, Dept Math, Istanbul, Turkey
来源：
FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020) | 2021年 / 2334卷
关键词：
Riesz difference sequence space; Fractional Difference operator Delta((alpha)); alpha-; beta and gamma-duals; Compact operator; Hausdorff measure of non-compactness; BINOMIAL DIFFERENCE OPERATOR; HAUSDORFF MEASURE; DOMAIN;
D O I：
10.1063/5.0042180
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the domain of generalized Riesz difference matrix R-q Delta((alpha)) of fractional order a in the classical sequence spaces c(0) and c and introduced the sequence spaces r(q)(0)(Delta((alpha))) and r(c)(q)(Delta((alpha))). We obtain the alpha-, beta- and gamma-duals of these spaces and using Hausdorff measure of noncompactness, we characterize certain classes of compact operators on the space r(q)(0)(Delta((alpha))).
引用
收藏
页数：5
相关论文
共 50 条
  • [41] Compactness of binomial difference operator of fractional order and sequence spaces
    Yaying, Taja
    Das, Anupam
    Hazarika, Bipan
    Baliarsingh, P.
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2019, 68 (03) : 459 - 476
  • [42] Matrix transformations and compact operators on Catalan sequence spaces
    Kara, Merve Ilkhan
    Kara, Emrah Evren
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 498 (01)
  • [43] Compact operators on some Fibonacci difference sequence spaces
    Alotaibi, Abdullah
    Mursaleen, Mohammad
    Alamri, Badriah A. S.
    Mohiuddine, Syed Abdul
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [44] Compact operators on some Fibonacci difference sequence spaces
    Abdullah Alotaibi
    Mohammad Mursaleen
    Badriah AS Alamri
    Syed Abdul Mohiuddine
    Journal of Inequalities and Applications, 2015
  • [45] Binomial difference sequence spaces of fractional order
    Meng, Jian
    Mei, Liquan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [46] Compact Toeplitz operators on the Segal-Bargmann space
    Isralowitz, Josh
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 374 (02) : 554 - 557
  • [47] On the connected component of compact composition operators on the Hardy space
    Gallardo-Gutierrez, Eva A.
    Gonzalez, Maria J.
    Nieminen, Pekka J.
    Saksman, Eero
    ADVANCES IN MATHEMATICS, 2008, 219 (03) : 986 - 1001
  • [48] Compact matrix operators on Banach space of absolutely k-summable series
    Gokce, Fadime
    TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (03) : 1004 - 1019
  • [49] Some new difference sequence spaces of fractional order and their dual spaces
    Baliarsingh, P.
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (18) : 9737 - 9742
  • [50] CONSTRUCTIVE COMPACT-OPERATORS ON A HILBERT-SPACE
    ISHIHARA, H
    ANNALS OF PURE AND APPLIED LOGIC, 1991, 52 (1-2) : 31 - 37
12345