On the structure of commuting isometries
Karel Horák, Vladimír Müller (1987)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Displaying similar documents to “Isometric parts of operators and the critical exponent”
On the structure of commuting isometries
Contractions similar to isometries
Vladimír Kordula (1993)
Czechoslovak Mathematical Journal
Similarity:
The Plancherel formula for the pseudo-riemannian space
G. Van Dijk, M. Poel (1986)
Compositio Mathematica
Similarity:
Generalized invariant subspaces for linear operators
Eberhard Gerlach (1972)
Studia Mathematica
Similarity:
On dilation and commuting liftings of n-tuples of commuting Hilbert space contractions
Zbigniew Burdak, Wiesław Grygierzec (2020)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Similarity:
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.
Wold-type extension for N-tuples of commuting contractions
Marek Kosiek, Alfredo Octavio (1999)
Studia Mathematica
Similarity:
Let (T1,…,TN) be an N-tuple of commuting contractions on a separable, complex, infinite-dimensional Hilbert space ℋ. We obtain the existence of a commuting N-tuple (V1,…,VN) of contractions on a superspace K of ℋ such that each extends , j=1,…,N, and the N-tuple (V1,…,VN) has a decomposition similar to the Wold-von Neumann decomposition for coisometries (although the need not be coisometries). As an application, we obtain a new proof of a result of Słociński (see [9])