46 citations
- Schlumberger (United States)US5 papers
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- Shenzhen Institutes of Advanced TechnologyCN2 papers
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math.FA2014
Positive semigroups and abstract Lyapunov equations
Sergiy Koshkin
We consider abstract equations of the form Ax=-z on a locally convex space, where A generates a positive semigroup and z is a positive element. This is an abstract version of the o…
math.FA2013★ 1 cited
A short proof of the Arendt-Chernoff-Kato theorem
Sergiy Koshkin
We give a short new proof of the Arendt-Chernoff-Kato theorem, which characterizes generators of positive C0 semigroups in order unit spaces. The proof avoids half-norms and subdif…