On the Extension of B. Sz.-Nagy's Dilation Theorem to Linear Pencils of Operators

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The explicit constructions of minimal isometric, and minimal unitary dilations of an arbitrary linear pencil of operators $T(λ)=T_0+λT_1$ consisting of contractions on a separable Hilbert space for $|λ|=1$, which generalize the classical constructions (the case $T_1=0$), are presented. In contrast to the classical case these dilations are essentially non-unique.
LaTeX, 12 pages

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Functional Analysis, Operator Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/58774

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0002234
 http://arxiv.org/abs/math/0002234

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arXiv