April 2023 ON THE LOCAL KREISS RESOLVENT CONDITION
Abdellah Akrym, Abdeslam El Bakkali, Abdelkhalek Faouzi
Rocky Mountain J. Math. 53(2): 325-334 (April 2023). DOI: 10.1216/rmj.2023.53.325

Abstract

We introduce a local version of the Kreiss resolvent condition for Banach space operators and we relate it to the local growth of powers. Also, we introduce a local Yosida approximation and we establish some local results.

Citation

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Abdellah Akrym. Abdeslam El Bakkali. Abdelkhalek Faouzi. "ON THE LOCAL KREISS RESOLVENT CONDITION." Rocky Mountain J. Math. 53 (2) 325 - 334, April 2023. https://doi.org/10.1216/rmj.2023.53.325

Information

Received: 9 July 2021; Revised: 18 January 2022; Accepted: 20 May 2022; Published: April 2023
First available in Project Euclid: 20 June 2023

MathSciNet: MR4604758
zbMATH: 07725139
Digital Object Identifier: 10.1216/rmj.2023.53.325

Subjects:
Primary: 47A10 , 47A11

Keywords: Banach space , Kreiss resolvent condition , local resolvent , local Yosida approximation , power boundedness

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

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Vol.53 • No. 2 • April 2023
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