THE BINOMIAL ALMOST CONVERGENT AND NULL SEQUENCE SPACES

被引：2
|
作者：
Bisgin, Mustafa Cemil [1 ]
机构：
[1] Recep Tayyip Erdogan Univ, Fac Arts & Sci, Dept Math, Zihni Derin Campus, TR-53100 Rize, Turkey
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2018年 / 67卷 / 01期
关键词：
Matrix domain; Schauder basis; beta- and gamma-duals; Banach limits; almost convergence and matrix classes;
D O I：
10.1501/Commual_0000000843
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the sequence spaces f(B-r,B-s), f(0)(B-r,B-s) and fs(B-r,B-s) which generalize the Kirisci's work [16]. Moreover, we show that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces f, f(0) and f(s), respectively. Furthermore, we mention the Schauder basis and give beta, gamma-duals of these spaces. Finally, we determine some matrix classes related to these spaces.
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页码：211 / 224
页数：14
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