Majorization of $C_0$-semigroups in ordered Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 47-54
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We give criteria for domination of strongly continuous semigroups in ordered Banach spaces that are not necessarily lattices, and thus obtain generalizations of certain results known in the lattice case. We give applications to semigroups generated by differential operators in function spaces which are not lattices.
We give criteria for domination of strongly continuous semigroups in ordered Banach spaces that are not necessarily lattices, and thus obtain generalizations of certain results known in the lattice case. We give applications to semigroups generated by differential operators in function spaces which are not lattices.
Classification :
34C11, 34C12, 34G10, 47B60, 47D06
Keywords: domination of semigroups; ordered Banach spaces; quasimonotonicity
Keywords: domination of semigroups; ordered Banach spaces; quasimonotonicity
@article{CMUC_2006_47_1_a4,
author = {Herzog, Gerd and Kunstmann, Peer Christian},
title = {Majorization of $C_0$-semigroups in ordered {Banach} spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {47--54},
year = {2006},
volume = {47},
number = {1},
mrnumber = {2223966},
zbl = {1150.47029},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2006_47_1_a4/}
}
TY - JOUR AU - Herzog, Gerd AU - Kunstmann, Peer Christian TI - Majorization of $C_0$-semigroups in ordered Banach spaces JO - Commentationes Mathematicae Universitatis Carolinae PY - 2006 SP - 47 EP - 54 VL - 47 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMUC_2006_47_1_a4/ LA - en ID - CMUC_2006_47_1_a4 ER -
Herzog, Gerd; Kunstmann, Peer Christian. Majorization of $C_0$-semigroups in ordered Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 47-54. http://geodesic.mathdoc.fr/item/CMUC_2006_47_1_a4/