Growth rate of eventually positive Kreiss bounded C₀-semigroups on L^p and C(K)

2022/07/18 by Loris Arnold, Arnold, L., Clément Coine +1
Mathematics · #advanced mathematical theories #Stochastic processes and statistical mechanics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2207.08443

Abstract

In this paper, we compare several Cesàro and Kreiss type boundedness conditions for a C₀-semigroup on a Banach space and we show that those conditions are all equivalent for a positive semigroup on a Banach lattice. Furthermore, we give an estimate of the growth rate of a Kreiss bounded and eventually positive C₀-semigroup (T_t)_{t≥ 0} on certain Banach lattices X. We prove that if X is an L^p-space, 1

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