Matches in SemOpenAlex for { <https://semopenalex.org/work/W3157333235> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W3157333235 endingPage "125290" @default.
- W3157333235 startingPage "125290" @default.
- W3157333235 abstract "Let Ω⊂CN be a Runge region and let H(Ω) denote the Fréchet space of holomorphic functions on Ω. In this paper, we provide extensions of some earlier results regarding nonscalar continuous linear operators on H(Ω) commuting with each partial differentiation operator ∂∂zk, where 1≤k≤N. Specifically, we demonstrate that all such operators are hypercyclic and share a dense set of common cyclic vectors. Motivated by our results, we introduce a class of finite sets of Fréchet space operators patterned after the partial differentiation operators, called backward multi-shifts, and show that any nonscalar operator in the commutant of such a finite set is supercyclic. Lastly, we apply our supercyclicity result on weighted differentiation operators on H(CN) and also on double sequence spaces." @default.
- W3157333235 created "2021-05-10" @default.
- W3157333235 creator A5032132962 @default.
- W3157333235 creator A5049525764 @default.
- W3157333235 date "2021-11-01" @default.
- W3157333235 modified "2023-09-24" @default.
- W3157333235 title "Cyclic behavior of holomorphic functions on a Runge region" @default.
- W3157333235 cites W1482266513 @default.
- W3157333235 cites W1549649164 @default.
- W3157333235 cites W1990183213 @default.
- W3157333235 cites W1994279876 @default.
- W3157333235 cites W2062240360 @default.
- W3157333235 cites W2069706688 @default.
- W3157333235 cites W2073540558 @default.
- W3157333235 cites W2085858798 @default.
- W3157333235 cites W2091582049 @default.
- W3157333235 cites W23104550 @default.
- W3157333235 cites W2590655921 @default.
- W3157333235 cites W4249840023 @default.
- W3157333235 doi "https://doi.org/10.1016/j.jmaa.2021.125290" @default.
- W3157333235 hasPublicationYear "2021" @default.
- W3157333235 type Work @default.
- W3157333235 sameAs 3157333235 @default.
- W3157333235 citedByCount "1" @default.
- W3157333235 countsByYear W31573332352022 @default.
- W3157333235 crossrefType "journal-article" @default.
- W3157333235 hasAuthorship W3157333235A5032132962 @default.
- W3157333235 hasAuthorship W3157333235A5049525764 @default.
- W3157333235 hasBestOaLocation W31573332352 @default.
- W3157333235 hasConcept C104317684 @default.
- W3157333235 hasConcept C111919701 @default.
- W3157333235 hasConcept C118615104 @default.
- W3157333235 hasConcept C134306372 @default.
- W3157333235 hasConcept C154945302 @default.
- W3157333235 hasConcept C158448853 @default.
- W3157333235 hasConcept C17020691 @default.
- W3157333235 hasConcept C177264268 @default.
- W3157333235 hasConcept C185592680 @default.
- W3157333235 hasConcept C199360897 @default.
- W3157333235 hasConcept C202444582 @default.
- W3157333235 hasConcept C204575570 @default.
- W3157333235 hasConcept C2777212361 @default.
- W3157333235 hasConcept C2778112365 @default.
- W3157333235 hasConcept C2778572836 @default.
- W3157333235 hasConcept C33923547 @default.
- W3157333235 hasConcept C41008148 @default.
- W3157333235 hasConcept C53846429 @default.
- W3157333235 hasConcept C54355233 @default.
- W3157333235 hasConcept C55493867 @default.
- W3157333235 hasConcept C75174853 @default.
- W3157333235 hasConcept C86339819 @default.
- W3157333235 hasConcept C86803240 @default.
- W3157333235 hasConceptScore W3157333235C104317684 @default.
- W3157333235 hasConceptScore W3157333235C111919701 @default.
- W3157333235 hasConceptScore W3157333235C118615104 @default.
- W3157333235 hasConceptScore W3157333235C134306372 @default.
- W3157333235 hasConceptScore W3157333235C154945302 @default.
- W3157333235 hasConceptScore W3157333235C158448853 @default.
- W3157333235 hasConceptScore W3157333235C17020691 @default.
- W3157333235 hasConceptScore W3157333235C177264268 @default.
- W3157333235 hasConceptScore W3157333235C185592680 @default.
- W3157333235 hasConceptScore W3157333235C199360897 @default.
- W3157333235 hasConceptScore W3157333235C202444582 @default.
- W3157333235 hasConceptScore W3157333235C204575570 @default.
- W3157333235 hasConceptScore W3157333235C2777212361 @default.
- W3157333235 hasConceptScore W3157333235C2778112365 @default.
- W3157333235 hasConceptScore W3157333235C2778572836 @default.
- W3157333235 hasConceptScore W3157333235C33923547 @default.
- W3157333235 hasConceptScore W3157333235C41008148 @default.
- W3157333235 hasConceptScore W3157333235C53846429 @default.
- W3157333235 hasConceptScore W3157333235C54355233 @default.
- W3157333235 hasConceptScore W3157333235C55493867 @default.
- W3157333235 hasConceptScore W3157333235C75174853 @default.
- W3157333235 hasConceptScore W3157333235C86339819 @default.
- W3157333235 hasConceptScore W3157333235C86803240 @default.
- W3157333235 hasIssue "1" @default.
- W3157333235 hasLocation W31573332351 @default.
- W3157333235 hasLocation W31573332352 @default.
- W3157333235 hasOpenAccess W3157333235 @default.
- W3157333235 hasPrimaryLocation W31573332351 @default.
- W3157333235 hasRelatedWork W2021494526 @default.
- W3157333235 hasRelatedWork W2045913732 @default.
- W3157333235 hasRelatedWork W2049186872 @default.
- W3157333235 hasRelatedWork W2093102607 @default.
- W3157333235 hasRelatedWork W2143411713 @default.
- W3157333235 hasRelatedWork W2913145454 @default.
- W3157333235 hasRelatedWork W2964186541 @default.
- W3157333235 hasRelatedWork W2980231599 @default.
- W3157333235 hasRelatedWork W3098189942 @default.
- W3157333235 hasRelatedWork W4246765290 @default.
- W3157333235 hasVolume "503" @default.
- W3157333235 isParatext "false" @default.
- W3157333235 isRetracted "false" @default.
- W3157333235 magId "3157333235" @default.
- W3157333235 workType "article" @default.