# POWER REGULARITY OF ISOMETRIC N-JORDAN OPERATORS

• Hedayatian, Karim (Department of Mathematics, College of Sciences, Shiraz University) ;
• Yarmahmoodi, Saeed (Department of Mathematics, Marvdasht University, Islamic Azad University)
• Accepted : 2016.03.22
• Published : 2016.06.25
• 82 13

#### Abstract

In this paper, we show that for every $N{\in}\mathbb{N}$, isometric N-Jordan operators on Hilbert spaces are power regular. Moreover, the only normaloid or 2-isometric, N-Jordan operators are isometries.

#### Keywords

Power regularity;isometric N-Jordan operator;nilpotent;normaloid

#### Acknowledgement

Supported by : Mavdasht University of Islamic Azad University

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