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- Title
Wold-Type Decompositions for a Commutative Pair of Noncommutative Semigroups of Isometries.
- Authors
Bînzar, Tudor; Lăzureanu, Cristian
- Abstract
In this paper, a pair of noncommutative isometric semigroups on a Hilbert space is considered. The existence and uniqueness of Wold-type decompositions for this pair are studied and connections with the noncommutative Wold decomposition for the product semigroup generated by this pair are given. Also, characterizations for the product semigroup to be a standard semigroup are presented.
- Subjects
ISOMETRICS (Mathematics); HILBERT space; NONCOMMUTATIVE function spaces; MATHEMATICAL transformations; ISOGEOMETRIC analysis
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2018, Vol 41, Issue 2, p1139
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-016-0379-2