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math.AP2013
Non-autonomous Honesty theory in abstract state spaces with applications to linear kinetic equations
Luisa Arlotti, Bertrand Lods, Mustapha Mokhtar-Kharroubi
We provide a honesty theory of substochastic evolution families in real abstract state space, extending to an non-autonomous setting the result obtained for -semigroups in our…
math.AP2009
On perturbed substochastic semigroups in abstract state spaces
Luisa Arlotti, Bertrand Lods, Mustapha Mokhtar-Kharroubi
The object of this paper is twofold: In the first part, we unify and extend the recent developments on honesty theory of perturbed substochastic semigroups (on -spaces or…
math.AP2008
Spectral properties of general advection operators and weighted translation semigroups
Bertrand Lods, Mustapha Mokhtar-Kharroubi, Mohammed Sbihi
We investigate the spectral properties of a class of weighted shift semigroups associated to abstract transport equations with a Lipschitz--continuous vector field with no--reentry…