We extend the notions of irreducibility and periodicity of a stochastic matrix to a unital positive linear map $\Phi$ on a finite-dimensional C*-algebra A and discuss the non-commutative version of the Perron-Frobenius theorem. As an example, positive linear maps on $M_2(C)$ are analyzed.
Irreducible and periodic positive maps
FAGNOLA, FRANCO;
2009-01-01
Abstract
We extend the notions of irreducibility and periodicity of a stochastic matrix to a unital positive linear map $\Phi$ on a finite-dimensional C*-algebra A and discuss the non-commutative version of the Perron-Frobenius theorem. As an example, positive linear maps on $M_2(C)$ are analyzed.File in questo prodotto:
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