𝔖 Bobbio Scriptorium
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Linear preservers on spaces of hermitian or real symmetric matrices

✍ Scribed by Ehud Moshe Baruch; Raphael Loe


Book ID
107826617
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
793 KB
Volume
183
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


Strong linear preservers of symmetric do
✍ Shwu-Huey Lin; Bit-Shun Tam πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 279 KB

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