Sum of sequence spaces and matrix transformations

被引：11
|
作者：
De Malafosse, B. [1 ]
机构：
[1] Univ Havre, LMAH, F-76610 Le Havre, France
来源：
ACTA MATHEMATICA HUNGARICA | 2006年 / 113卷 / 04期
关键词：
operator of first difference; Banach algebra with identity; matrix transformations;
D O I：
10.1007/s10474-006-0106-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We are interested in the study of the sum E + F and the product E*F, when E and F are of the form s(xi), or s(xi)circle, or s(xi)((c)). Then we deal with the identities (E + F) (Delta(q)) = E and (E + F) (Delta(q)) = F. Finally we consider matrix transformations in the previous sets and study the identities ((E-p1 + F-p2) (Delta(q)), s(mu)) = S-alpha (p1) +beta(p2,mu) and (E + F (Delta(q)), s(gamma)) = S-beta,S-gamma.
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页码：289 / 311
页数：23
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