A note on property (gaR) and perturbations

• Date: 2017
• Main Authors: Chen, A., Shen, J. L., Чен, А., Шен, Ю.Л.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1750
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce a new property $(gaR)$ extending the property $(R)$ considered by Aiena. We study the property $(gaR)$ in connection with Weyl type theorems and establish sufficient and necessary conditions under which the property $(gaR)$ holds. In addition, we also study the stability of the property...