Iterated resolvent estimates for power bounded matrices
Rachid Zarouf (LATP)
TL;DR
This paper explores resolvent estimates for power bounded matrices, extending classical conditions like Kreiss and Hille-Yosida to matrix settings, providing new insights into their spectral properties.
Contribution
It introduces analogs of the Kreiss resolvent condition and extends them to Hille-Yosida type conditions for power bounded matrices, advancing spectral analysis techniques.
Findings
Established resolvent bounds for power bounded matrices.
Extended classical resolvent conditions to matrix analogs.
Provided theoretical framework connecting Kreiss and Hille-Yosida conditions.
Abstract
We discuss analogs of the Kreiss resolvent condition for power bounded matrices. We also explain how to extend it to analogs of the Hille-Yosida condition.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Matrix Theory and Algorithms · Holomorphic and Operator Theory