New version of property $(az)$

Authors

  • Hassan Zariouh Centre régional des métiers de l'éducation et de la formation, B.P 458, Oujda, Maroc et Equipe de la Théorie des Opérateurs, Université Mohammed Premier, Faculté des Sciences d'Oujda, Département de Mathématiques et Informatique, Morocco Author

Keywords:

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

Subjects:

47A53, 47A10, 47A11

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 purposeof the paper is to study the relationship between these propertiesand other Weyl-type theorems.

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Published

2014-07-15