Maps preserving the diamond partial order

被引：5

作者：

Burgos, M. ^{[1
]}

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

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

机构：

[1] Fac Ciencias Sociales Educ, Campus Univ Cartuja, Granada 18071, Spain

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 296卷

关键词：

Diamond partial order; Linear preserver; C*-algebra; Generalized inverse; Jordan homomorphism; MINUS PARTIAL ORDER; GENERALIZED INVERSES; STAR; OPERATORS; MATRICES; ALGEBRAS; SHARP;

D O I：

10.1016/j.amc.2016.10.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper is devoted to the study of the diamond partial order in C*-algebras. We characterize linear maps preserving this partial order. Published by Elsevier Inc.

引用

页码：137 / 147

页数：11

共 50 条

[21] Maps completely preserving idempotents and maps completely preserving square-zero operators [J].

Hou, Jinchuan ;

Huang, Li .

ISRAEL JOURNAL OF MATHEMATICS, 2010, 176 (01) :363-380

[22] Similarity-preserving linear maps on B(X) [J].

Lu, Fangyan ;

Peng, Chaoran .

STUDIA MATHEMATICA, 2012, 209 (01) :1-10

[23] On linear maps preserving generalized invertibility and related properties [J].

Boudi, Nadia ;

Hadder, Youness .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (01) :20-25

[24] LINEAR MAPS PRESERVING OR STRONGLY PRESERVING MAJORIZATION ON MATRICES [J].

Khalooei, F. .

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (07) :77-83

[25] Maps preserving scrambling index [J].

Guterman, A. E. ;

Maksaev, A. M. .

LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (04) :840-851

[26] On maps preserving products of matrices [J].

Catalano, Louisa ;

Hsu, Samuel ;

Kapalko, Regan .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 563 :193-206

[27] Similarity preserving linear maps [J].

Semrl, Peter .

JOURNAL OF OPERATOR THEORY, 2008, 60 (01) :71-83

[28] Determinant preserving maps: an infinite dimensional version of a theorem of Frobenius [J].

Nagy, Gergo .

LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (02) :351-360

[29] Strong 3-commutativity preserving maps on prime rings [J].

Qi, Xiaofei ;

Hou, Jinchuan .

LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (11) :2153-2169

[30] On a class of determinant preserving maps for finite von Neumann algebras [J].

Gaal, Marcell ;

Nayak, Soumyashant .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 464 (01) :317-327

← 1 2 3 4 5 →