Functional Model of Commutative Operator Systems

Ключові слова:

functional model, commutative operator system.

Анотація

A functional model for a commutative system of the linear bounded operators {T1, T2}, when T1 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) = T1n1T2n2 , where n = (n1, n2) Î ℤ+2.

Mathematics Subject Classification: 47A45.

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Як цитувати

(1)
Zolotarev, V. Functional Model of Commutative Operator Systems. J. Math. Phys. Anal. Geom. 2008, 4, 420-440.

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