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Nov 3, 2014 at 12:29 comment added Wlodzimierz Fechner Some time ago I wrote a paper on functional Hlawka inequality: $$f(x+y) + f(x+z) + f(y+z) \leq f(x+y+z) + f(x) + f(y) + f(z)$$ see link.springer.com/article/10.1007%2Fs00010-012-0178-2 I collected there the some basic facts I found on the inequality (H). The problem was studied by some people in 70's and 80's. And it seems that a characterization of the spaces in wchich (H) is true is not known.
Oct 29, 2014 at 16:28 answer added Guillaume Aubrun timeline score: 7
Oct 19, 2014 at 2:05 comment added Suvrit So the question is whether this inequality holds for arbitrary $2\times 2$ matrices under the operator norm?
Oct 18, 2014 at 6:46 history edited Denis Serre CC BY-SA 3.0
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Oct 17, 2014 at 13:34 vote accept Denis Serre
Oct 17, 2014 at 13:33 answer added Mateusz Wasilewski timeline score: 9
Oct 17, 2014 at 13:13 history asked Denis Serre CC BY-SA 3.0