Around the Kato generation theorem for semigroups
Volume 179 / 2007
Studia Mathematica 179 (2007), 217-238
MSC: 47D06, 47B60, 34G10, 92D25.
DOI: 10.4064/sm179-3-2
Abstract
We show that the result of Kato on the existence of a semigroup solving the Kolmogorov system of equations in $l_1$ 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.
