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Mar 8, 2017 at 15:16 comment added nsoum Being a new member, as I cannot add comments to the original post, I am posting it as an answer. A quick proof would involve the convexity of $\ln(1+e^x)$ and Jensen's inequality for the faithful normal tracial state of the $II_1$-factor. Just as a clarification, I am as much interested in references and mentions of this result in the literature, as (other) proofs.
Mar 8, 2017 at 1:34 review First posts
Mar 8, 2017 at 1:38
Mar 8, 2017 at 1:31 history edited nsoum CC BY-SA 3.0
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Mar 8, 2017 at 1:23 history asked nsoum CC BY-SA 3.0