Refined scales of decaying rates of operator semigroups on Hilbert spaces: typical behaviour
Spectral Theory
2019-10-24 v2
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.
Keywords
Cite
@article{arxiv.1804.07838,
title = {Refined scales of decaying rates of operator semigroups on Hilbert spaces: typical behaviour},
author = {Moacir Aloisio and Silas L. Carvalho and César R. de Oliveira},
journal= {arXiv preprint arXiv:1804.07838},
year = {2019}
}
Comments
15 pages, to appear in Proceedings of the American Mathematical Society. Improved exposition. Major changes following suggestions of the referee