PERSPECTIVES AND COMPLETELY POSITIVE MAPS

被引：3
|
作者：
Hansen, Frank [1 ]
机构：
[1] Tohoku Univ, Inst Excellence Higher Educ, Sendai, Miyagi, Japan
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2017年 / 8卷 / 02期
基金：
美国国家科学基金会;
关键词：
partial traces of operator means; Lieb and Ruskai's convexity theorem; DEFINITE MATRICES; GEOMETRIC MEANS; INEQUALITIES; PRODUCTS;
D O I：
10.1215/20088752-3784269
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the filtering of the perspective of a regular operator map of several variables through a completely positive linear map. By this method we are able to extend known operator inequalities of two variables to several variables, with applications in the theory of operator means of several variables. We also extend Lieb and Ruskai's convexity theorem from two to n + 1 operator variables for any natural number n.
引用
收藏
页码：168 / 176
页数：9
相关论文
共 50 条
  • [31] Lifting theorems for completely positive maps
    Gabe, James
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2022, 16 (02) : 391 - 421
  • [32] EXTENSIONS OF NONLINEAR COMPLETELY POSITIVE MAPS
    HIAI, F
    NAKAMURA, Y
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1987, 39 (03) : 367 - 384
  • [33] On spectra of some completely positive maps
    Yuan Li
    Shuhui Gao
    Cong Zhao
    Nan Ma
    Positivity, 2024, 28
  • [34] Completely positive maps into corona algebras
    Kucerovsky, Dan Z.
    Ng, P. W.
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2009, 147 : 323 - 337
  • [35] Modules and extremal completely positive maps
    Juha-Pekka Pellonpää
    Positivity, 2014, 18 : 61 - 79
  • [36] Completely positive maps and classical correlations
    Rodriguez-Rosario, Cesar A.
    Modi, Kavan
    Kuah, Aik-Meng
    Shaji, Anil
    Sudarshan, E. C. G.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (20)
  • [37] COMPLETELY POSITIVE MAPS AND ENTROPY INEQUALITIES
    LINDBLAD, G
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 40 (02) : 147 - 151
  • [38] COVARIANT COMPLETELY POSITIVE MAPS AND LIFTINGS
    KAPLAN, A
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1993, 23 (03) : 939 - 946
  • [39] DECOMPOSITIONS OF COMPLETELY BOUNDED MAPS INTO COMPLETELY POSITIVE MAPS INVOLVING TRACE CLASS OPERATORS
    Li, Yuan
    Cui, Mengqian
    Wu, Jiao
    ANNALS OF FUNCTIONAL ANALYSIS, 2019, 10 (01): : 16 - 28
  • [40] CONDITIONALLY COMPLETELY POSITIVE MAPS ON OPERATOR ALGEBRAS
    EVANS, DE
    QUARTERLY JOURNAL OF MATHEMATICS, 1977, 28 (111): : 271 - 283
12345