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Unitary dilations and theC algebra0 2
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Unitary dilations and theC algebra0 2

Israel journal of mathematics, Vol.56(2), pp.129-142
06/1986
DOI: 10.1007/BF02766120

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Abstract

LetH be an infinite-dimensional separable Hilbert space, and letS=(S ij)∈teB(H)⊗M 2 be a unitary 2 × 2 matrix with operator entries. We study theC*-algebra generated by the operatorsS ij, and show that the study of unitary dilations of isometriesT inH reduces to the special case whereS 11 =T, andS 21 = 0. We useC*-algebraic techniques to obtain detailed results about the set of all unitary dilations ofT.

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