TY  - JOUR
A1  - Gerlach, Moritz Reinhardt
A1  - Glück, Jochen
T1  - On a convergence theorem for semigroups of positive integral operators
T2  - Comptes Rendus Mathematique
N2  - We give a new and very short proof of a theorem of Greiner asserting that a positive and contractive -semigroup on an -space is strongly convergent in case it has a strictly positive fixed point and contains an integral operator. Our proof is a streamlined version of a much more general approach to the asymptotic theory of positive semigroups developed recently by the authors. Under the assumptions of Greiner's theorem, this approach becomes particularly elegant and simple. We also give an outlook on several generalisations of this result.
Y1  - 2017
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/53551
SN  - 1631-073X
SN  - 1778-3569
VL  - 355
SP  - 973
EP  - 976
PB  - Elsevier
CY  - Paris
ER  -