On dilation and commuting liftings of n-tuples of commuting Hilbert space contractions

The n-tuples of commuting Hilbert space contractions are considered. We give a model of a commuting lifting of one contraction and investigate conditions under which a commuting lifting theorem holds for an n-tuple. A series of such liftings leads to an isometric dilation of the n-tuple. The method...

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Bibliographic Details
Main Authors: Zbigniew Burdak, Wiesław Grygierzec
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2020-04-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:https://studmath.up.krakow.pl/index.php/studmath/article/view/7928