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
  • [21] COMPLETELY POSITIVE MAPS AND APPROXIMATE EQUIVALENCE
    HADWIN, DW
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1987, 36 (01) : 211 - 228
  • [22] Completely positive maps of order zero
    Winter, Wilhelm
    Zacharias, Joachim
    MUENSTER JOURNAL OF MATHEMATICS, 2009, 2 (01): : 311 - 324
  • [23] Bloch equations and completely positive maps
    Daffert, S
    Wódkiewicz, K
    McIver, JK
    JOURNAL OF MODERN OPTICS, 2004, 51 (12) : 1843 - 1858
  • [24] On spectra of some completely positive maps
    Li, Yuan
    Gao, Shuhui
    Zhao, Cong
    Ma, Nan
    POSITIVITY, 2024, 28 (02)
  • [25] GRAPH PRODUCTS OF COMPLETELY POSITIVE MAPS
    Atkinson, Scott
    JOURNAL OF OPERATOR THEORY, 2019, 81 (01) : 133 - 156
  • [26] Completely positive maps of the Cuntz algebras
    Zuccante, R
    JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 145 (01) : 35 - 43
  • [27] ON APPROXIMATE FACTORIZATIONS OF COMPLETELY POSITIVE MAPS
    ANANTHARAMANDELAROCHE, C
    HAVET, JF
    JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 90 (02) : 411 - 428
  • [28] ENTROPIC DIMENSION FOR COMPLETELY POSITIVE MAPS
    BENATTI, F
    NARNHOFER, H
    JOURNAL OF STATISTICAL PHYSICS, 1988, 53 (5-6) : 1273 - 1298
  • [29] BURES DISTANCE FOR COMPLETELY POSITIVE MAPS
    Bhat, B. V. Rajarama
    Sumesh, K.
    INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2013, 16 (04)
  • [30] Asymptotic lifting for completely positive maps
    Forough, Marzieh
    Gardella, Eusebio
    Thomsen, Klaus
    JOURNAL OF FUNCTIONAL ANALYSIS, 2024, 287 (12)
12345