On super-recurrent operators

التفاصيل البيبلوغرافية
العنوان: On super-recurrent operators
المؤلفون: Amouch, Mohamed, Benchiheb, Otmane
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Functional Analysis, 47A16 (Primary), 37B20 (Secondary)
الوصف: 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 $\sigma(T)$ and $\sigma_p(T^*)$, the spectrum of $T$ and the point spectrum of $T^*$ respectively, have some noteworthy properties.
Comment: 9 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2102.12170
رقم الأكسشن: edsarx.2102.12170
قاعدة البيانات: arXiv