SOME NEW SEQUENCE SPACE SDEFINED BY A MODULUS FUNCTION AND AN INFINITE MATRIX IN A SEMINORMED SPACE

被引：0
|
作者：
Candan, Murat [1 ]
机构：
[1] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey
来源：
JOURNAL OF MATHEMATICAL ANALYSIS | 2012年 / 3卷 / 02期
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (c) over cap denotes the space of almost convergent sequences introduced by G. G. Lorentz [A contribution to the theory of divergent sequences, Acta Math. 8 0 ( 1948), 167{190]. The main purpose of the present paper is to introduce the sequence spaces w 0 ((A) over cap .p; f; q; s); w ((A) over cap ,p; f; q; s) and w(infinity) ((A) over cap ,p; f; q; s) defined by a modulus function f. Some topological properties of that spaces are examined. Also we exposed some inclusion relations among the variations of the space.
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页码：1 / 9
页数：9
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