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On q-commuting co-extensions and q-commutant lifting.
- Source :
-
Linear Algebra & its Applications . Feb2023, Vol. 658, p186-205. 20p. - Publication Year :
- 2023
-
Abstract
- Consider a nonzero contraction T and a bounded operator X satisfying T X = q X T for a complex number q. There are some interesting results in the literature on q -commuting dilation and q -commutant lifting of such pair (T , X) when | q | = 1. Here we improve a few of them to the class of scalars q satisfying | q | ≤ 1 ‖ T ‖. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPLEX numbers
*COMMUTING
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 658
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 160586067
- Full Text :
- https://doi.org/10.1016/j.laa.2022.11.003