NON-COMMUTATIVE PERSPECTIVES

被引:35
|
作者
Effros, Edward [1 ]
Hansen, Frank [2 ]
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90015 USA
[2] Tohoku Univ, Inst Int Educ, Sendai, Miyagi 980, Japan
来源
ANNALS OF FUNCTIONAL ANALYSIS | 2014年 / 5卷 / 02期
关键词
Perspective; non-commutative; convexity; INEQUALITY; OPERATORS;
D O I
10.15352/afa/1396833504
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that the non-commutative perspective of an operator convex function is the unique extension of the corresponding commutative perspective that preserves homogeneity and convexity.
引用
收藏
页码:74 / 79
页数:6
相关论文
共 50 条
  • [31] Non-Commutative Resistance Networks
    Rieffel, Marc A.
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2014, 10
  • [32] The non-commutative Weil algebra
    A. Alekseev
    E. Meinrenken
    Inventiones mathematicae, 2000, 139 : 135 - 172
  • [33] Non-commutative digital signatures
    Kahrobaei, Delaram k
    Koupparis, Charalambos
    GROUPS COMPLEXITY CRYPTOLOGY, 2012, 4 (02) : 377 - 384
  • [34] Non-commutative subsequence principles
    Narcisse Randrianantoanina
    Mathematische Zeitschrift, 2003, 245 : 625 - 644
  • [35] Non-Commutative Fejer Theorems
    Chen, Xiaoman
    Fu, Benyin
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2012, 74 (03) : 301 - 312
  • [36] Non-Commutative Caratheodory Interpolation
    Balasubramanian, Sriram
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2010, 68 (04) : 529 - 550
  • [37] Non-commutative standard model
    Calmet, X
    Jurco, B
    Schupp, P
    Wess, J
    Wohlgenannt, M
    GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES, 2003, 173 : 477 - 480
  • [38] A non-commutative Bertini theorem
    Rennemo, Jorgen Vold
    Segal, Ed
    Van den Bergh, Michel
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2019, 13 (02) : 609 - 616
  • [39] Theory of non-commutative polynomials
    Ore, O
    ANNALS OF MATHEMATICS, 1933, 34 : 480 - 508
  • [40] NON-COMMUTATIVE GENERALIZATIONS OF MATHEMATICS
    JOHNSON, BE
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1982, 14 (NOV) : 465 - 471