Singly generated c-algebras

被引：0

作者：

Rabanovich V.I. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 1999年 / 51卷 / 8期

关键词：

Orthogonal Projector; Matrix Algebra; Closed Ball; Orthonormal Vector; Unitary Diagonal Matrix;

D O I：

10.1007/BF02592518

中图分类号：

学科分类号：

摘要：

We consider a C-algebra A generated by k self-adjoint elements. We prove that, for n≥√k-1, the algebra Mn(A) is singly generated, i.e., generated by one non-self-adjoint element. We present an example of algebra A for which the property that Mn(A) is singly generated implies the relation n≥√k-1. © 2000 Kluwer Academic/Plenum Publishers.

引用

页码：1282 / 1290

页数：8

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