Functional Model of Commutative Operator Systems

Автор(и)

  • V. A. Zolotarev Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine

Ключові слова:

functional model, commutative operator system

Анотація

A functional model for a commutative system of the linear bounded operators $\{T_1, T_2\}$, when $T_1$ is a contraction, is built. The construction of functional model is based on an analogue with many parameters of the Lax - Phillips scattering scheme for the isometric dilation $U(n)$ of the semigroup with two parameters $T(n)=T_1^{n_1}T_{2}^{n_2}$ , where $n=(n_1,n_2)\in \mathbb{Z}^2_{+}$.

Mathematics Subject Classification: 47A45.

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Як цитувати

(1)
Zolotarev, V. A. Functional Model of Commutative Operator Systems. Журн. мат. фіз. анал. геом. 2008, 4, 420-440.

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