A determinant inequality and log-majorisation for operators

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Abstract:

‎Let $lambda_1,dots,lambda_n$  be positive real numbers such that $sum_{k=1}^n lambda_k=1$. In this paper, we prove that for any positive operators $a_1,a_2,ldots, a_n$ in semifinite von Neumann algebra $M$ with faithful normal trace that $t(1)

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Journal title

volume 7  issue 1

pages  131- 140

publication date 2016-01-07

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