Mathematical Journal of Ibaraki University
Online ISSN : 1883-4353
Print ISSN : 1343-3636
ISSN-L : 1343-3636
Infinite Matrices and Cesàro Sequence Spaces of Non-absolute Type
FEYZI BASAR
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ジャーナル フリー

1999 年 31 巻 p. 1-12

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In the present paper we essentially deal with to determine the neccessary and sufficient conditions in order for a matrix A=(ank) to belong to the classes (Xp:bs), (Xp:fs), (X1:lp), (Xp:X1) and (lp:X1), respectively. Furthermore, we give the sufficient conditions on a matrix A=(ank) in the class (Xp:lp) for 1<p<∞ and prove a Steinhaus type theorem concerning the disjointness of the classes (Xp:fs)r and (bs:fs). Those sequence spaces are described, below.
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© Department of Mathematics, Faculty of Science, Ibaraki University
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