On semigroups with an infinitesimal operator

Jolanta Olko

Jolanta Olko

Annales Polonici Mathematici, Tome 85 (2005), p. 77-89 / Harvested from The Polish Digital Mathematics Library

Résumé

Let $F^{t} : t \geq 0$ 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 $f^{t} : t \geq 0$ of linear continuous selections $f^{t}$ of $F^{t}$ .

Publié le : 2005-01-01

Zbl 1082.54013

EUDML-ID : urn:eudml:doc:281022

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-6,
     author = {Jolanta Olko},
     title = {On semigroups with an infinitesimal operator},
     journal = {Annales Polonici Mathematici},
     volume = {85},
     year = {2005},
     pages = {77-89},
     zbl = {1082.54013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-6}
}

Jolanta Olko. On semigroups with an infinitesimal operator. Annales Polonici Mathematici, Tome 85 (2005) pp. 77-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-6/