TY - JOUR
T1 - Perspectives and completely positive maps
AU - Hansen, Frank
N1 - Funding Information:
This work was supported by Grant-in-Aid for Scientific Research of Japan grant 26400104 and by National Science Foundation of China grant 11301025.
Publisher Copyright:
© 2017 by the Tusi Mathematical Research Group.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
KW - Lieb and Ruskai's convexity theorem
KW - Partial traces of operator means
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U2 - 10.1215/20088752-3784269
DO - 10.1215/20088752-3784269
M3 - Article
AN - SCOPUS:85016053761
VL - 8
SP - 168
EP - 176
JO - Annals of Functional Analysis
JF - Annals of Functional Analysis
SN - 2008-8752
IS - 2
ER -