Geodesic
Wold-type extension for N-tuples of commuting contractions
Studia Mathematica, Tome 137 (1999) no. 1, pp. 81-91 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let (T_1,…,T_N) 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 (V_1,…,V_N) of contractions on a superspace K of ℋ such that each $V_j$ extends $T_j$, j=1,…,N, and the N-tuple (V_1,…,V_N) has a decomposition similar to the Wold-von Neumann decomposition for coisometries (although the $V_j$ need not be coisometries). As an application, we obtain a new proof of a result of Słociński (see [9])
DOI : 10.4064/sm-137-1-81-91
Keywords: contractions, dilations, extensions 
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Marek Kosiek;  . Wold-type extension for N-tuples of commuting contractions. Studia Mathematica, Tome 137 (1999) no. 1, pp. 81-91. doi: 10.4064/sm-137-1-81-91

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