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Compactness properties for perturbed semigroups and application to transport equation
2000
Journal of the Australian Mathematical Society
Using the comparison results for positive compact operators by Aliprantis and Burkinshow, Mokhtar-Kharroubi investigated compactness properties of positive semigroups on Banach lattices. The aim of this paper is to study these properties in general Banach spaces (without positivity). Our results generalize a part of those obtained by Mokhtar-Kharroubi to general Banach spaces context. More specifically, we derive conditions which ensure the compactness of the remainder term R n (t) for some
doi:10.1017/s1446788700001828
fatcat:exrcwfcluffgpk7i47dbn3urom