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arXiv · 2306.03036

Convergence of power sequences of B-operators with applications to stability

Sameer Chavan·Zenon Jan Jabłoński·Il Bong Jung·Jan Stochel
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Abstract

The B-operators (abbreviation for Brownian-type operators) are upper triangular 2x2 block matrix operators that satisfy certain algebraic constraints. The purpose of this paper is to characterize the weak, the strongand 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.

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Sameer Chavan, Zenon Jan Jabłoński, Il Bong Jung, Jan Stochel. 2023-06-05. Convergence of power sequences of B-operators with applications to stability. https://arxiv.org/abs/2306.03036

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