BANACH SPACES AND INEQUALITIES ASSOCIATED WITH NEW GENERALIZATION OF CESàRO MATRIX

查看全文 作　　者：Feyzi [1]BASAR;Hadi [2]ROOPAEI

机构地区：[1]Department of Primary Mathematics Teacher Education,Inonu University,44280–Malatya,Turkiye;[2]Department of Mathematics and Statistics,University of Victoria,Victoria,Canada

出　　处：《Acta Mathematica Scientia》索引2023年第43卷第4期,共19页

摘　　要：Let the triangle matrix A^(ru)be a generalization of the Cesàro matrix and U∈{c_(0),c,l_(∞)}.In this study,we essentially deal with the space U(A^(ru))defined by the domain of A^(ru)in the space U and give the bases,and determine the Kothe-Toeplitz,generalized K?theToeplitz and bounded-duals of the space U(A^(ru)).We characterize the classes(l_(∞)(A^(ru)):l_(∞)),(l_(∞)(A^(ru)):c),(c(A^(ru)):c),and(U:V(A^(ru)))of infinite matrices,where V denotes any given sequence space.Additionally,we also present a Steinhaus type theorem.As an another result of this study,we investigate the l_(p)-norm of the matrix A^(ru)and as a result obtaining a generalized version of Hardy's inequality,and some inclusion relations.Moreover,we compute the norm of well-known operators on the matrix domain l_(p)(A^(ru)). 关键词：matrix domain normed sequence space duals and matrix transformations

相关文献

参考文献（51）
引证文献（1）
耦合文献（0）

参考文献(51)

引证文献(1)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

BANACH SPACES AND INEQUALITIES ASSOCIATED WITH NEW GENERALIZATION OF CESàRO MATRIX

参考文献(51)

引证文献(1)

用户提示