On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 45 (2020) no. 1
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We enquire into the basic structural properties of positively
supercyclic strongly continuous semigroups induced by locally
Lipschitz continuous semiflows in the setting of weighted $L^{p}$
and $C_{0}$-type spaces. We also introduce and investigate disjoint
hypercyclic semigroups whose index set is an appropriate sector of
the complex plane. Several illustrative examples are also provided
in order to justify our analysis.
@article{BASS_2020_45_1_a0,
author = {Marko Kosti\'c},
title = {On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. {Disjoint} hypercyclic semigroups},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {1 - 24},
year = {2020},
volume = {45},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2020_45_1_a0/}
}
TY - JOUR AU - Marko Kostić TI - On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles PY - 2020 SP - 1 EP - 24 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/item/BASS_2020_45_1_a0/ ID - BASS_2020_45_1_a0 ER -
%0 Journal Article %A Marko Kostić %T On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups %J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles %D 2020 %P 1 - 24 %V 45 %N 1 %U http://geodesic.mathdoc.fr/item/BASS_2020_45_1_a0/ %F BASS_2020_45_1_a0
Marko Kostić. On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 45 (2020) no. 1. http://geodesic.mathdoc.fr/item/BASS_2020_45_1_a0/