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The linear preservers of real diagonalizable matrices

✍ Scribed by Bernard Randé; Clément de Seguins Pazzis

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
223 KB
Volume
435
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

Strong linear preservers of symmetric do
Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices
✍ Shwu-Huey Lin; Bit-Shun Tam 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 279 KB

Let S denote either the set of n × n symmetric doubly stochastic matrices or the set of n × 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 × n permutation matrix P such that T (X) = P t XP for all X ∈ span S. Ou