We consider a concave iteration semigroup of linear continuous set-valued functions defined on a closed convex cone in a separable Banach space. We prove that such an iteration semigroup has a selection which is also an iteration semigroup of linear continuous functions. Moreover it is majorized by an "exponential" family of linear continuous set-valued functions.
@article{bwmeta1.element.bwnjournal-article-apmv71z1p31bwm,
author = {Jolanta Olko},
title = {Concave iteration semigroups of linear set-valued functions},
journal = {Annales Polonici Mathematici},
volume = {72},
year = {1999},
pages = {31-38},
zbl = {0969.47030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv71z1p31bwm}
}
Jolanta Olko. Concave iteration semigroups of linear set-valued functions. Annales Polonici Mathematici, Tome 72 (1999) pp. 31-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv71z1p31bwm/
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