期刊
POSITIVITY
卷 22, 期 5, 页码 1311-1324出版社
SPRINGER
DOI: 10.1007/s11117-018-0577-2
关键词
Unitarily invariant norm; Hilbert-Schmidt norm; Singular value; Trace; Positive semidefinite matrix; Inequality
类别
In this paper, we propose three new matrix versions of the arithmetic-geometric mean inequality for unitarily invariant norms, which stem from the fact that the Heinz mean of two positive real numbers interpolates between the geometric and arithmetic means of these numbers. Related trace inequalities are also presented.
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