LINEAR MAPS STRONGLY PRESERVING MOORE-PENROSE INVERTIBILITY

被引：8

作者：

Burgos, Maria ^{[1
]}

Marquez-Garcia, A. C. ^{[2
]}

Morales-Campoy, A. ^{[2
]}

机构：

[1] Fac Ciencias Sociales & Comunicac, Cadiz 11405, Spain

[2] Univ Almeria, Dept Algebra & Anal Matemat, Almeria 04120, Spain

来源：

OPERATORS AND MATRICES | 2012年 / 6卷 / 04期

关键词：

Linear preservers; C* -algebras; Moore-Penrose invertibility; Jordan *-homomorphism; C-ASTERISK-ALGEBRAS; GENERALIZED INVERSES; BANACH-ALGEBRAS; STAR-ALGEBRAS; SUMS;

D O I：

10.7153/oam-06-53

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A and B be C* -algebras. We investigate linear maps from A to B strongly preserving Moore-Penrose invertibility, where A is unital, and either it is linearly spanned by its projections, or has large socle, or has real rank zero (in this last case the map T is assumed to be bounded).

引用

页码：819 / 831

页数：13

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