Injective vector valued semigroups.
Dimovski, Dončo, Čupona, Ǵorǵi (1999)
Novi Sad Journal of Mathematics
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Dimovski, Dončo, Čupona, Ǵorǵi (1999)
Novi Sad Journal of Mathematics
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We show that the result of Kato on the existence of a semigroup solving the Kolmogorov system of equations in l₁ can be generalized to a larger class of the so-called Kantorovich-Banach spaces. We also present a number of related generation results that can be proved using positivity methods, as well as some examples.
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The notion of bi-continuous semigroups has recently been introduced to handle semigroups on Banach spaces that are only strongly continuous for a topology coarser than the norm-topology. In this paper, as a continuation of the systematic treatment of such semigroups started in [20-22], we provide a bounded perturbation theorem, which turns out to be quite general in view of various examples.
László Kérchy, Zoltán Léka (2007)
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We prove that some regularity conditions on unbounded representations of topological abelian semigroups with countable spectral conditions induce a certain stability result extending the well-known Arendt-Batty-Lyubich-Vũ theorem.
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