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Linear maps leaving invariant subsets of nonnegative symmetric matrices
Published online by Cambridge University Press: 17 April 2009
Abstract
Let be a certain set of nonnegative symmetric matrices, such as the set of symmetric doubly stochastic matrices or the set, of symmetric permutation matrices. It is proven that a linear transformation mapping onto must be of the form X ↦ PtX P for some permutation matrix P except for several low dimensional cases.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 221 - 231
- Copyright
- Copyright © Australian Mathematical Society 2003
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