| Autor: |
Benchiheb, Otmane, Sadek, Fatimaezzahra, Amouch, Mohamed |
| Zdroj: |
Afrika Matematica; Mar2023, Vol. 34 Issue 1, p1-13, 13p |
| Abstrakt: |
An operator T acting on a Banach space X is said to be super-recurrent if for each open subset U of X, there exist λ ∈ K and n ∈ N such that λ T n (U) ∩ U ≠ ∅ . In this paper, we introduce and study the notions of super-rigidity and uniform super-rigidity which are related to the notion of super-recurrence, we also investigate the basic properties of these two notions. In addition, we discuss the spectrum of these two operators. At the end, we study the super-recurrence, the super-rigidity and the uniform super-rigidity behaviors on finite-dimensional spaces. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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