Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse

被引：8

作者：

Benitez, Julio ^{[1
]}

Rakocevic, Vladimir ^{[2
]}

机构：

[1] Univ Politecn Valencia, Dept Matemat Aplicada, Inst Matemat Multidisciplinar, Valencia 46022, Spain

[2] Univ Nis, Fac Sci & Math, Dept Math, Nish 18000, Serbia

来源：

STUDIA MATHEMATICA | 2010年 / 200卷 / 02期

关键词：

C*-algebras; Moore-Penrose inverse; idempotents;

D O I：

10.4064/sm200-2-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the subset in a unital C*-algebra composed of elements a such that aa(dagger) - aa(dagger) is invertible, where at denotes the Moore-Penrose inverse of a. A distinguished subset of this set is also investigated. Furthermore we study sequences of elements belonging to the aforementioned subsets.

引用

页码：163 / 174

页数：12

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