On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups
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We enquire into the basic structural properties of positively supercyclic
strongly continuous semigroups induced by locally Lipschitz continuous semiflows in the setting of weighted Lp and C0-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.
Keywords:
hypercyclic semigroups / disjoint hypercyclic semigroups / supercyclic semigroups / semiflowsSource:
Bulletin T.CLIII de l’Académie serbe des sciences et des arts, 2020, 1-24Publisher:
- Beograd : Académie Serbe des sciences et des arts
Funding / projects:
- Metode funkcionalne i harmonijske analize i PDJ sa singularitetima (RS-174024)
Note:
- Bulletin t. 153 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathematiques no 45.
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Cрпска академија наука и уметности / Serbian Academy of Sciences and ArtsTY - CONF AU - Kostić, Marko PY - 2020 UR - https://dais.sanu.ac.rs/123456789/13421 AB - We enquire into the basic structural properties of positively supercyclic strongly continuous semigroups induced by locally Lipschitz continuous semiflows in the setting of weighted Lp and C0-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. PB - Beograd : Académie Serbe des sciences et des arts C3 - Bulletin T.CLIII de l’Académie serbe des sciences et des arts T1 - On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups SP - 1 EP - 24 UR - https://hdl.handle.net/21.15107/rcub_dais_13421 ER -
@conference{ author = "Kostić, Marko", year = "2020", abstract = "We enquire into the basic structural properties of positively supercyclic strongly continuous semigroups induced by locally Lipschitz continuous semiflows in the setting of weighted Lp and C0-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.", publisher = "Beograd : Académie Serbe des sciences et des arts", journal = "Bulletin T.CLIII de l’Académie serbe des sciences et des arts", title = "On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups", pages = "1-24", url = "https://hdl.handle.net/21.15107/rcub_dais_13421" }
Kostić, M.. (2020). On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups. in Bulletin T.CLIII de l’Académie serbe des sciences et des arts Beograd : Académie Serbe des sciences et des arts., 1-24. https://hdl.handle.net/21.15107/rcub_dais_13421
Kostić M. On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups. in Bulletin T.CLIII de l’Académie serbe des sciences et des arts. 2020;:1-24. https://hdl.handle.net/21.15107/rcub_dais_13421 .
Kostić, Marko, "On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups" in Bulletin T.CLIII de l’Académie serbe des sciences et des arts (2020):1-24, https://hdl.handle.net/21.15107/rcub_dais_13421 .