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
  • [21] Non-commutative Grobner bases for commutative algebras
    Eisenbud, D
    Peeva, I
    Sturmfels, B
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (03) : 687 - 691
  • [22] A Logical Framework with Commutative and Non-commutative Subexponentials
    Kanovich, Max
    Kuznetsov, Stepan
    Nigam, Vivek
    Scedrov, Andre
    AUTOMATED REASONING, IJCAR 2018, 2018, 10900 : 228 - 245
  • [23] Non-commutative algebraic geometry and commutative desingularizations
    Le Bruyn, L
    Noncommutative Algebra and Geometry, 2006, 243 : 203 - 252
  • [24] THE NON-COMMUTATIVE HARDY-LITTLEWOOD MAXIMAL OPERATOR ON NON-COMMUTATIVE LORENTZ SPACES
    Bekbayev, N. T.
    Tulenov, K. S.
    JOURNAL OF MATHEMATICS MECHANICS AND COMPUTER SCIENCE, 2020, 106 (02): : 31 - 38
  • [25] Moduli spaces of maximally supersymmetric solutions on non-commutative tori and non-commutative orbifolds
    Konechny, A
    Schwarz, A
    JOURNAL OF HIGH ENERGY PHYSICS, 2000, (09):
  • [26] A Positivstellensatz for non-commutative polynomials
    Helton, JW
    McCullough, SA
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (09) : 3721 - 3737
  • [27] Non-commutative functional calculus
    Jim Agler
    John E. McCarthy
    Journal d'Analyse Mathématique, 2019, 137 : 211 - 229
  • [28] Non-commutative symbolic coding
    Gohm, Rolf
    Kuemmerer, Burkhard
    Lang, Tatjana
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2006, 26 : 1521 - 1548
  • [29] NON-COMMUTATIVE SPLITTING RINGS
    TEPLY, ML
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1971, 4 (JUL): : 157 - &
  • [30] Non-commutative superstring worldsheet
    D. Kamani
    The European Physical Journal C - Particles and Fields, 2002, 26 : 285 - 291
12345