Research Communication | Open Access
Volume 2020 | Communication ID 67 |

A Note About the Strong Kreiss Resolvent Condition

Abdellah Akrym, Abdeslam Elbakkali, Abdelkhalek Faouzi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
05 January 2020
20 January 2020
10 March 2020

Abstract: In the present paper, we extend the strong (uniform) Kreiss resolvent condition to a direct sum, and we show that if an operator on a Banach space satisfies the strong (uniform) Kreiss resolvent condition then so does the fractional powers of this operator.