Orbits of the backward shifts with limit points

We show that the bilateral backward shift on ℓp(Z,ω) that has a projective orbit with a non-zero limit point is supercyclic. This phenomenon holds also for Γ-supercyclicity, which extends a result obtained for the first time by Chan and Seceleanu. Moreover, we show that if K is a compact subset of ℓ...

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Vydané v:	Journal of mathematical analysis and applications Ročník 537; číslo 2; s. 128293
Hlavní autori:	Abakumov, Evgeny, Abbar, Arafat
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 15.09.2024
Predmet:	Backward shift Hypercyclicity Orbital limit points Recurrence Supercyclicity Translation semigroup Backward shift Recurrence Supercyclicity Hypercyclicity Translation semigroup Orbital limit points
ISSN:	0022-247X
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