COMPLETENESS OF n-TUPLES OF PROJECTIONS IN C*-ALGEBRAS

被引：0

作者：

Hu, Shanwen ^{[1
]}

Xue, Yifeng ^{[2
,3
]}

机构：

[1] E China Normal Univ, Res Ctr Operator Algebras, Shanghai 200241, Peoples R China

[2] E China Normal Univ, Res Ctr Operator Algebras, Dept Math, Shanghai 200241, Peoples R China

[3] E China Normal Univ, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

来源：

JOURNAL OF OPERATOR THEORY | 2014年 / 72卷 / 01期

关键词：

Projection; idempotent; complete n-tuple of projections; ORTHOGONAL PROJECTIONS; HILBERT-SPACE; IDEMPOTENTS; INVERTIBILITY; DIFFERENCE; SUBSPACES; SUM;

D O I：

10.7900/jot.2012sep10.2019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (P-1, ... , P-n) be an n-tuple of projections in a unital C*-algebra A. We say (P-1, ... , P-n) is complete in A if A is the linear direct sum of the closed subspaces P1A, ... , P(n)A. In this paper, we give some necessary and sufficient conditions for the completeness of (P-1, ... , P-n) and discuss the perturbation problem and connectivity of the set of all complete n-tuple of projections in A.

引用

页码：49 / 70

页数：22

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