On C<sub>0⋅</sub>multi-contractions having a regular dilation

Dan Popovici

Type: Article

Publication Date: 2005-01-01

Citations: 1

DOI: https://doi.org/10.4064/sm170-3-6

Abstract

Commuting multi-contractions of class $C_{0\cdot }$ and having a regular isometric dilation are studied. We prove that a polydisc contraction of class $C_{0\cdot }$ is the restriction of a backwards multi-shift to an invariant subspace, extending a partic

Locations

Studia Mathematica - View - PDF

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Works Cited by This (5)

Action	Title	Year	Authors
+ PDF Chat	ON THE COMMUTATIVE FAMILY OF SUBNORMAL OPERATORS	1958	Takasi Itô
+	Regular dilations and models for multicontractions	1998	Dan Timotin
+ PDF Chat	Unitary dilations for commuting contractions	1970	Stephen Parrott
+ PDF Chat	Operator-valued n-harmonic measure in the polydisc	2004	Anders Olofsson
+ PDF Chat	On the intertwinings of regular dilations	1997	Dumitru Gaşpar Nicolae Suciu