On semigroups with an infinitesimal operator

Jolanta Olko. "On semigroups with an infinitesimal operator." Annales Polonici Mathematici 85.1 (2005): 77-89. <http://eudml.org/doc/281022>.

@article{JolantaOlko2005,
abstract = {Let $\{F^\{t\}: t ≥ 0\}$ be an iteration semigroup of linear continuous set-valued functions. If the semigroup has an infinitesimal operator then it is a uniformly continuous semigroup majorized by an exponential semigroup. Moreover, for sufficiently small t every linear selection of $F^\{t\}$ is invertible and there exists an exponential semigroup $\{f^\{t\}:t ≥ 0\}$ of linear continuous selections $f^\{t\}$ of $F^\{t\}$.},
author = {Jolanta Olko},
journal = {Annales Polonici Mathematici},
keywords = {set-valued function; cone; iteration semigroup; Banach space; infinitesimal operator; selection},
language = {eng},
number = {1},
pages = {77-89},
title = {On semigroups with an infinitesimal operator},
url = {http://eudml.org/doc/281022},
volume = {85},
year = {2005},
}

TY - JOUR
AU - Jolanta Olko
TI - On semigroups with an infinitesimal operator
JO - Annales Polonici Mathematici
PY - 2005
VL - 85
IS - 1
SP - 77
EP - 89
AB - Let ${F^{t}: t ≥ 0}$ be an iteration semigroup of linear continuous set-valued functions. If the semigroup has an infinitesimal operator then it is a uniformly continuous semigroup majorized by an exponential semigroup. Moreover, for sufficiently small t every linear selection of $F^{t}$ is invertible and there exists an exponential semigroup ${f^{t}:t ≥ 0}$ of linear continuous selections $f^{t}$ of $F^{t}$.
LA - eng
KW - set-valued function; cone; iteration semigroup; Banach space; infinitesimal operator; selection
UR - http://eudml.org/doc/281022
ER -