A new class of linear operators on l2 and Schur multipliers for them

被引：6

作者：

Marcoci, Anca-Nicoleta ^{[1
]}

Marcoci, Liviu-Gabriel ^{[1
]}

机构：

[1] Tech Univ Civil Engn Bucharest, Bucharest 020396, Romania

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2007年 / 5卷 / 02期

关键词：

Schur multiplier; Toeplitz matrices; matriceal Wiener algebra;

D O I：

10.1155/2007/949161

中图分类号：

学科分类号：

摘要：

We introduce the space B-w(l(2)) of linear (unbounded) operators on l(2) which map decreasing sequences from l(2) into sequences from l(2) and we find some classes of operators belonging either to B-w(l(2)) or to the space of all Schur multipliers on B-w(l(2)). For instance we show that the space B(l(2)) of all bounded operators on l(2) is contained in the space of all Schur multipliers on B-w(l(2)).

引用

页码：151 / 165

页数：15

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