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math.FA2020★ 24 cited
Semi-uniform stability of operator semigroups and energy decay of damped waves
R. Chill, D. Seifert, Y. Tomilov
Only in the last fifteen years or so has the notion of semi-uniform stability, which lies between exponential stability and strong stability, become part of the asymptotic theory o…
math.FA2020★ 5 cited
Optimal rates of decay in the Katznelson-Tzafriri theorem for operators on Hilbert spaces
Abraham C. S. Ng, David Seifert
The Katznelson-Tzafriri theorem is a central result in the asymptotic theory of discrete operator semigroups. It states that for a power-bounded operator on a Banach space we h…