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
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
收藏
页码:137 / 147
页数:11
相关论文
共 50 条
  • [21] Maps completely preserving idempotents and maps completely preserving square-zero operators
    Hou, Jinchuan
    Huang, Li
    ISRAEL JOURNAL OF MATHEMATICS, 2010, 176 (01) : 363 - 380
  • [22] On linear maps preserving generalized invertibility and related properties
    Boudi, Nadia
    Hadder, Youness
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (01) : 20 - 25
  • [23] Similarity-preserving linear maps on B(X)
    Lu, Fangyan
    Peng, Chaoran
    STUDIA MATHEMATICA, 2012, 209 (01) : 1 - 10
  • [24] LINEAR MAPS PRESERVING OR STRONGLY PRESERVING MAJORIZATION ON MATRICES
    Khalooei, F.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (07): : 77 - 83
  • [25] On maps preserving products of matrices
    Catalano, Louisa
    Hsu, Samuel
    Kapalko, Regan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 563 : 193 - 206
  • [26] Maps preserving scrambling index
    Guterman, A. E.
    Maksaev, A. M.
    LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (04) : 840 - 851
  • [27] Similarity preserving linear maps
    Semrl, Peter
    JOURNAL OF OPERATOR THEORY, 2008, 60 (01) : 71 - 83
  • [28] Strong 3-commutativity preserving maps on prime rings
    Qi, Xiaofei
    Hou, Jinchuan
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (11) : 2153 - 2169
  • [29] On a class of determinant preserving maps for finite von Neumann algebras
    Gaal, Marcell
    Nayak, Soumyashant
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 464 (01) : 317 - 327
  • [30] ADDITIVE MAPS PRESERVING THE SEMI-FREDHOLM DOMAIN IN SPECTRUM
    Shi, Weijuan
    Ji, Guoxing
    ANNALS OF FUNCTIONAL ANALYSIS, 2016, 7 (02): : 254 - 260