Back to Search
Start Over
Convergence of power sequences of B-operators with applications to stability.
- Source :
- Proceedings of the American Mathematical Society; May2024, Vol. 152 Issue 5, p2035-2050, 16p
- Publication Year :
- 2024
-
Abstract
- The B-operators (abbreviation for Brownian-type operators) are upper triangular 2\times 2 block matrix operators that satisfy certain algebraic constraints. The purpose of this paper is to characterize the weak, the strong and the uniform stability of B-operators, respectively. This is achieved by giving equivalent conditions for the convergence of powers of a B-operator in each of the corresponding topologies. A more subtle characterization is obtained for B-operators with subnormal (2,2) entry. The issue of the strong stability of the adjoint of a B-operator is also discussed. [ABSTRACT FROM AUTHOR]
- Subjects :
- ABBREVIATIONS
TOPOLOGY
MATRICES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 152
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 176473189
- Full Text :
- https://doi.org/10.1090/proc/16674