Abstract

In this paper we define new spectral properties $(h)$, $(gh)$, $(ah)$ and $(gah)$ as a continuation of [H. Zariouh, Property (gz) for bounded linear operators, Mat. Vesnik, 65 (2013), 94--103], which are variants to the properties $(z)$, $(gz)$ and $(az)$ introduced in the mentioned paper. The purpose of the paper is to study the relationship between these properties and other Weyl-type theorems.

Keywords: Property $(h)$, property $(ah)$, Weyl-type theorems.

MSC: 47A53, 47A10, 47A11

Pages:  317$-$322     

Volume  66 ,  Issue  3 ,  2014