Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems
Ключові слова:
scattering scheme with many parameters, translational model, commutative operator system.Анотація
The scattering scheme with many parameters for a commutative system of linear bounded operators {T1, T2}, when T1 is a contraction, is built. Using this construction of the scattering scheme, the translation model of the semigroup with two parameters T(n) = T1n1 T2n2 , n = (n1, n2) Î Z+2 is obtained. Description of characteristic properties of the dilation U of the contraction T1, that follows from the commutative property of the operators T1 and T2, in terms of external parameters lies in the basis of the method of the construction of the translational models for T(n).Mathematics Subject Classification: 47A45.
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Zolotarev, V. Scattering Scheme With Many Parameters and Translational Models of Commutative Operator Systems. J. Math. Phys. Anal. Geom. 2007, 3, 424-447.
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