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- W1977643670 abstract "The BMV conjecture for traces, which states that $${text{Tr}};{text{exp}}left( {A - lambda B} right)$$ is the Laplace transform of a positive measure, is shown to be equivalent to two other statements: (i) The polynomial $$lambda mapsto {text{Tr}};left( {A + lambda B} right)^p$$ has only non-negative coefficients for all $$A,B geqslant 0,p in mathbb{N}$$ and (ii) $$lambda mapsto {text{Tr}};left( {A + lambda B} right)^{ - p}$$ is the Laplace transform of a positive measure for $$A,B geqslant 0,p > 0$$ ." @default.
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- W1977643670 date "2004-04-01" @default.
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- W1977643670 title "Equivalent Forms of the Bessis–Moussa–Villani Conjecture" @default.
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