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q-COMMUTING DILATION.
- Source :
-
Proceedings of the American Mathematical Society . Feb2019, Vol. 147 Issue 2, p655-669. 15p. - Publication Year :
- 2019
-
Abstract
- In this paper, we prove that any pair of q-commuting contractions on a Hilbert space dilates to a pair of q-commuting unitaries, where |q| = 1. We generalize this result to a (G, q)-commuting n-tuple (T1, . . . , Tn) of strict contractions, where G is an acyclic graph with vertex set {1, . . . ,n}. We further generalize it to a family of (G, q)-commuting strict contractions, where G is an acyclic graph on an infinite set of vertices. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 147
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 133902290
- Full Text :
- https://doi.org/10.1090/proc/14151