Strong linear preservers of symmetric do
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Shwu-Huey Lin; Bit-Shun Tam
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Article
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2004
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Elsevier Science
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English
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Let S denote either the set of n ร n symmetric doubly stochastic matrices or the set of n ร n symmetric doubly substochastic matrices and let T be a linear map on span S. We prove that T (S) = S if and only if there exists an n ร n permutation matrix P such that T (X) = P t XP for all X โ span S. Ou