Research Communication | Open Access
Volume 2021 | Communication ID 245
Volume 2021 | Communication ID 245
| On the Ritt Condition on Locally Convex Vector Spaces |
Abdellah Akrym, Abdeslam El Bakkali, Abdelkhalek Faouzi
Received |
Accepted |
Published |
January 31, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: During the last decades, there has been huge interest in the study of power boundedness under various resolvent conditions of operators acting on Banach spaces at first and lately, more generally, on locally convex spaces. In this communication, we show that the Ritt condition in the case of locally convex spaces can be related to the power boundedness of a universally bounded operator. We will characterize this condition by two geometric properties of the powers and we prove that the Ritt condition will be shown to be equivalent to the Tadmor condition. Also, an upper bound for the norm of ...