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

Simple item page
dc.creatorKalyuzhniy, Dmitriy S.
dc.date2000-02-28
dc.date.accessioned2026-07-07T04:34:06Z
dc.date.available2026-07-07T04:34:06Z
dc.descriptionThe 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.
dc.descriptionLaTeX, 12 pages
dc.identifierhttps://arxiv.org/abs/math/0002234
dc.identifierhttp://arxiv.org/abs/math/0002234
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58774
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.titleOn the Extension of B. Sz.-Nagy's Dilation Theorem to Linear Pencils of Operators
dc.typetext

Files

Collections

arXiv