Refined scales of decaying rates of operator semigroups on Hilbert spaces: Typical behavior

Aloisio, Moacir; Carvalho, Silas; de Oliveira, César

doi:10.1090/proc/14926

Refined scales of decaying rates of operator semigroups on Hilbert spaces: Typical behavior
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by Moacir Aloisio, Silas L. Carvalho and César R. de Oliveira

Proc. Amer. Math. Soc. 148 (2020), 2509-2523

DOI: https://doi.org/10.1090/proc/14926

Published electronically: February 18, 2020

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Abstract:

We study relations between the decaying rates of operator semigroups on Hilbert spaces and some spectral properties of their respective generators; in particular, we show that the decaying rates of orbits of semigroups which are stable but not exponentially stable, typically in Baire’s sense, depend on sequences of time going to infinity.

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