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))).
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页数：5
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