ON THE GENERALIZED RIESZ B-DIFFERENCE SEQUENCE SPACES

被引：0

作者：

Basarir, Metin ^{[1
]}

机构：

[1] Sakarya Univ, Dept Math, TR-54187 Sakarya, Turkey

来源：

FILOMAT | 2010年 / 24卷 / 04期

关键词：

B-Riesz Sequence Space; Paranormed Sequence Space alpha-; beta-duals; MATRIX TRANSFORMATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define the new generalized Riesz B-difference sequence spaces r(infinity)(q) (p, B), r(c)(q) (p, B), r(0)(q) (p, B) and r(q) (p,B) which consist of the sequences whose (RB)-B-q-transforms are in the linear spaces l(infinity) (p), c (p), c(0) (p) and l (p), respectively, introduced by I.J.Maddox [8], [9]. We give some topological properties and compute the alpha-, beta- and gamma-duals of these spaces. Also we determine the neccesary and sufficient conditions on the matrix transformations from these spaces into l(infinity) and c.

引用

页码：35 / 52

页数：18

共 11 条

[1] Altay B., 2002, SE ASIAN B MATH, V26, P701
[2] Altay B., 2006, Southeast Asian Bull. Math., V30, P209
[3] Altay B., 2005, Ukrainian Math. J., V57, P1
[4] Basar F., 2003, Ukrainian Math. J., V55, P136, DOI [10.1023/A:1025080820961, DOI 10.1023/A:1025080820961]
[5] On the Riesz difference sequence space
Başarır M.
Öztürk M.
[J]. Rendiconti del Circolo Matematico di Palermo, 2008, 57 (3) : 377 - 389
[6] MATRIX TRANSFORMATIONS BETWEEN THE SEQUENCE-SPACES OF MADDOX
GROSSEERDMANN, KG
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 180 (01) : 223 - 238
[7] ON CERTAIN SEQUENCE-SPACES
KIZMAZ, H
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1981, 24 (02): : 169 - 176
[8] LASCARIDES CG, 1970, PROC CAMB PHILOS S-M, V68, P99
[9] Maddox I.J., 1970, ELEMENT FUNCTIONAL A
[10] MADDOX IJ, 1968, PROC CAMB PHILOS S-M, V64, P335

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