Around the Kato generation theorem for semigroups
Jacek Banasiak, Mirosław Lachowicz (2007)
Studia Mathematica
Similarity:
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.