Geodesic
On a class of super-recurrent operators
Filomat, Tome 36 (2022) no. 11, p. 3701

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DOI

In this paper, we introduce and study the notion of super-recurrence of operators. We investigate some properties of this class of operators and show that it shares some characteristics with supercyclic and recurrent operators. In particular, we show that if T is super-recurrent, then σ(T) and σ p (T *), the spectrum of T and the point spectrum of T * respectively, have some noteworthy properties.
DOI : 10.2298/FIL2211701A
Classification : 47A16, 37B20
Keywords: Hypercyclicity, supercyclicity, recurrence, super-recurrence 
Mohamed Amouch; Otmane Benchiheb. On a class of super-recurrent operators. Filomat, Tome 36 (2022) no. 11, p. 3701 . doi: 10.2298/FIL2211701A
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     title = {On a class of super-recurrent operators},
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     doi = {10.2298/FIL2211701A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2211701A/}
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