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Feb 6, 2013 at 20:27 comment added Betrand This would be a big conjecture. I don't know the answer. Would you post it as a new problem.
Feb 5, 2013 at 23:14 comment added Denis Serre After this inequality, and that of Fallat & Johnson (see my answer below), could it be that for every immanent $I$ and every positive definite symmetric matrices $A,B$, we have $$I(A\circ B)+I(A)I(B)\ge(\prod a_{ii})I(B)+(\prod b_{ii})I(A)\qquad ?$$
Sep 6, 2012 at 1:16 history answered Betrand CC BY-SA 3.0