Wold-type extension for N-tuples of commuting contractions
Kosiek, Marek ; Octavio, Alfredo
Studia Mathematica, Tome 133 (1999), p. 81-91 / Harvested from The Polish Digital Mathematics Library
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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 Vj extends Tj, j=1,…,N, and the N-tuple (V1,…,VN) has a decomposition similar to the Wold-von Neumann decomposition for coisometries (although the Vj need not be coisometries). As an application, we obtain a new proof of a result of Słociński (see [9])

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216676 
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Kosiek, Marek; Octavio, Alfredo. Wold-type extension for N-tuples of commuting contractions. Studia Mathematica, Tome 133 (1999) pp. 81-91. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv137i1p81bwm/

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