On the Extension of B. Sz.-Nagy's Dilation Theorem to Linear Pencils of Operators
Dmitriy S. Kalyuzhniy
Abstract
The explicit constructions of minimal isometric, and minimal unitary dilations of an arbitrary linear pencil of operators T(λ)=T0+λT1 consisting of contractions on a separable Hilbert space for |λ|=1, which generalize the classical constructions (the case T1=0), are presented. In contrast to the classical case these dilations are essentially non-unique.
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