Geodesic
On dilation and commuting liftings of $n$-tuples of commuting Hilbert space contractions
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 19 (2020), pp. 121-139.

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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 is tested on some class of triples motivated by Parrotts example. It provides also a new proof of the fact that a positive definite n-tuple has an isometric dilation.
Keywords: dilation, lifting, von Neumann inequality 
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Burdak, Zbigniew; Grygierzec, Wiesław. On dilation and commuting liftings of $n$-tuples of commuting Hilbert space contractions. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 19 (2020), pp. 121-139. http://geodesic.mathdoc.fr/item/AUPCM_2020_19_a9/

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