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- W2039744870 abstract "Let A denote a decomposable symmetric complex valued n-linear function on Cm. We prove ‖A·A‖2⩾2n2nn−1‖A⊗A‖2, where · denotes the symmetric product and ⊗ the tensor product. As a consequence we have per MMMM⩾2n[per(M)]2, where M is a positive semidefinite Hermitian matrix and per denotes the permanent function. A sufficient condition for equality in the matrix inequality is that M is a nonnegative diagonal matrix." @default.
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- W2039744870 date "1984-02-01" @default.
- W2039744870 modified "2023-09-28" @default.
- W2039744870 title "An inequality involving permanents of certain direct products" @default.
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- W2039744870 doi "https://doi.org/10.1016/0024-3795(84)90183-6" @default.
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