Around the Kato generation theorem for semigroups

Jacek Banasiak, and Mirosław Lachowicz. "Around the Kato generation theorem for semigroups." Studia Mathematica 179.3 (2007): 217-238. <http://eudml.org/doc/284787>.

@article{JacekBanasiak2007,
abstract = {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.},
author = {Jacek Banasiak, Mirosław Lachowicz},
journal = {Studia Mathematica},
keywords = {KB-spaces; positive semigroups; perturbations of semigroups; birth-and-death problems},
language = {eng},
number = {3},
pages = {217-238},
title = {Around the Kato generation theorem for semigroups},
url = {http://eudml.org/doc/284787},
volume = {179},
year = {2007},
}

TY - JOUR
AU - Jacek Banasiak
AU - Mirosław Lachowicz
TI - Around the Kato generation theorem for semigroups
JO - Studia Mathematica
PY - 2007
VL - 179
IS - 3
SP - 217
EP - 238
AB - 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.
LA - eng
KW - KB-spaces; positive semigroups; perturbations of semigroups; birth-and-death problems
UR - http://eudml.org/doc/284787
ER -