Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300485816> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W4300485816 abstract "We provide with criteria for a family of sequences of operators to share a frequently universal vector. These criteria are variants of the classical Frequent Hypercyclicity Criterion and of a recent criterion due to Grivaux, Matheron and Menet where periodic points play the central role. As an application, we obtain for any operator T in a specific class of operators acting on a separable Banach space, a necessary and sufficient condition on a subset $Lambda$ of the complex plane for the family {$lambda$T : $lambda$ $in$ $Lambda$} to have a common frequently hypercyclic vector. In passing, this permits us to easily exhibit frequent hypercyclic weighted shifts which do not possess common frequent hypercyclic vectors. We also provide with criteria for families of the recently introduced operators of C-type to share a common frequently hypercyclic vector. Further, we prove that the same problem of common $alpha$-frequent hypercyclicity may be vacuous, where the notion of $alpha$-frequent hypercyclicity extends that of frequent hypercyclicity replacing the natural density by more general weighted densities. Finally, it is already known that any operator satisfying the classical Frequent Universality Criterion is $alpha$-frequently universal for any sequence $alpha$ satisfying a suitable condition. We complement this result by showing that for any such operator, there exists a vector x which is $alpha$-frequently universal for T , with respect to all such $alpha$." @default.
- W4300485816 created "2022-10-03" @default.
- W4300485816 creator A5019693946 @default.
- W4300485816 creator A5020152616 @default.
- W4300485816 creator A5020654259 @default.
- W4300485816 creator A5054454111 @default.
- W4300485816 date "2020-08-31" @default.
- W4300485816 modified "2023-09-26" @default.
- W4300485816 title "Common frequent hypercyclicity" @default.
- W4300485816 doi "https://doi.org/10.48550/arxiv.2008.13393" @default.
- W4300485816 hasPublicationYear "2020" @default.
- W4300485816 type Work @default.
- W4300485816 citedByCount "0" @default.
- W4300485816 crossrefType "posted-content" @default.
- W4300485816 hasAuthorship W4300485816A5019693946 @default.
- W4300485816 hasAuthorship W4300485816A5020152616 @default.
- W4300485816 hasAuthorship W4300485816A5020654259 @default.
- W4300485816 hasAuthorship W4300485816A5054454111 @default.
- W4300485816 hasBestOaLocation W43004858161 @default.
- W4300485816 hasConcept C104317684 @default.
- W4300485816 hasConcept C118615104 @default.
- W4300485816 hasConcept C120665830 @default.
- W4300485816 hasConcept C121332964 @default.
- W4300485816 hasConcept C132954091 @default.
- W4300485816 hasConcept C134306372 @default.
- W4300485816 hasConcept C158448853 @default.
- W4300485816 hasConcept C17020691 @default.
- W4300485816 hasConcept C185592680 @default.
- W4300485816 hasConcept C18903297 @default.
- W4300485816 hasConcept C202444582 @default.
- W4300485816 hasConcept C2777299769 @default.
- W4300485816 hasConcept C2778112365 @default.
- W4300485816 hasConcept C2778113609 @default.
- W4300485816 hasConcept C33923547 @default.
- W4300485816 hasConcept C54355233 @default.
- W4300485816 hasConcept C55493867 @default.
- W4300485816 hasConcept C70710897 @default.
- W4300485816 hasConcept C86339819 @default.
- W4300485816 hasConcept C86803240 @default.
- W4300485816 hasConceptScore W4300485816C104317684 @default.
- W4300485816 hasConceptScore W4300485816C118615104 @default.
- W4300485816 hasConceptScore W4300485816C120665830 @default.
- W4300485816 hasConceptScore W4300485816C121332964 @default.
- W4300485816 hasConceptScore W4300485816C132954091 @default.
- W4300485816 hasConceptScore W4300485816C134306372 @default.
- W4300485816 hasConceptScore W4300485816C158448853 @default.
- W4300485816 hasConceptScore W4300485816C17020691 @default.
- W4300485816 hasConceptScore W4300485816C185592680 @default.
- W4300485816 hasConceptScore W4300485816C18903297 @default.
- W4300485816 hasConceptScore W4300485816C202444582 @default.
- W4300485816 hasConceptScore W4300485816C2777299769 @default.
- W4300485816 hasConceptScore W4300485816C2778112365 @default.
- W4300485816 hasConceptScore W4300485816C2778113609 @default.
- W4300485816 hasConceptScore W4300485816C33923547 @default.
- W4300485816 hasConceptScore W4300485816C54355233 @default.
- W4300485816 hasConceptScore W4300485816C55493867 @default.
- W4300485816 hasConceptScore W4300485816C70710897 @default.
- W4300485816 hasConceptScore W4300485816C86339819 @default.
- W4300485816 hasConceptScore W4300485816C86803240 @default.
- W4300485816 hasLocation W43004858161 @default.
- W4300485816 hasLocation W43004858162 @default.
- W4300485816 hasLocation W43004858163 @default.
- W4300485816 hasLocation W43004858164 @default.
- W4300485816 hasLocation W43004858165 @default.
- W4300485816 hasLocation W43004858166 @default.
- W4300485816 hasOpenAccess W4300485816 @default.
- W4300485816 hasPrimaryLocation W43004858161 @default.
- W4300485816 hasRelatedWork W1971514761 @default.
- W4300485816 hasRelatedWork W2036335949 @default.
- W4300485816 hasRelatedWork W2047294383 @default.
- W4300485816 hasRelatedWork W2081616371 @default.
- W4300485816 hasRelatedWork W2160346518 @default.
- W4300485816 hasRelatedWork W2323683917 @default.
- W4300485816 hasRelatedWork W2360878603 @default.
- W4300485816 hasRelatedWork W2782804153 @default.
- W4300485816 hasRelatedWork W2806984643 @default.
- W4300485816 hasRelatedWork W3102632868 @default.
- W4300485816 isParatext "false" @default.
- W4300485816 isRetracted "false" @default.
- W4300485816 workType "article" @default.