期刊
LINEAR ALGEBRA AND ITS APPLICATIONS
卷 456, 期 -, 页码 22-53出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2014.05.030
关键词
Matrix; Operator mean; Positive linear map; Symmetric norm; Anti-norm; Convex function; Concave function; Majorization; Schur product
资金
- Grants-in-Aid for Scientific Research [26400103] Funding Source: KAKEN
Jensen inequalities for positive linear maps of Choi and Hansen-Pedersen type are established for a large class of operator/matrix means such as some p-means and some Kubo-Ando means. These results are also extensions of the Minkowski determinantal inequality. To this end we develop the study of anti-norms, a notion parallel to the symmetric norms in matrix analysis, including functionals like Schatten q-norms for a parameter q is an element of (-infinity, 1] and the Minkowski functional det(1/n) A. (C) 2014 Elsevier Inc. All rights reserved.
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