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
收藏
页码：137 / 147
页数：11
相关论文
共 50 条
  • [1] MAPS ON OPERATORS STRONGLY PRESERVING SHARP ORDER
    Efimov, M. A.
    Guterman, A. E.
    OPERATORS AND MATRICES, 2015, 9 (03): : 711 - 731
  • [2] Minus partial order and linear preservers
    Burgos, M.
    Marquez-Garcia, A. C.
    Morales-Campoy, A.
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (09) : 1814 - 1832
  • [3] Order preserving maps on quantum measurements
    Heinosaari, Teiko
    Jivulescu, Maria Anastasia
    Nechita, Ion
    QUANTUM, 2022, 6
  • [4] The diamond partial order in rings
    Lebtahi, Leila
    Patricio, Pedro
    Thome, Nestor
    LINEAR & MULTILINEAR ALGEBRA, 2014, 62 (03) : 386 - 395
  • [5] EIGENVECTORS OF HOMOGENEOUS ORDER-BOUNDED ORDER-PRESERVING MAPS
    Thieme, Horst R.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (03): : 1073 - 1097
  • [6] The diamond partial order for strong Rickart rings
    Cirulis, Janis
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (01) : 192 - 203
  • [7] Space pre-order and minus partial order for operators on Banach spaces
    Rakic, Dragan S.
    Djordjevic, Dragan S.
    AEQUATIONES MATHEMATICAE, 2013, 85 (03) : 429 - 448
  • [8] Maps preserving zero products
    Alaminos, J.
    Bresar, M.
    Extremera, J.
    Villena, A. R.
    STUDIA MATHEMATICA, 2009, 193 (02) : 131 - 159
  • [9] Bounds for the diamond partial order in (Script capital H)
    Yang, Lili
    Ji, Guoxing
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (08) : 1415 - 1421
  • [10] MAPS PRESERVING EQUIVALENCE BY PRODUCTS OF INVOLUTIONS
    Radic, Gordana
    OPERATORS AND MATRICES, 2019, 13 (03): : 823 - 833
12345