Isometric $N$-Jordan weighted shift operators
Authors : Saeed Yarmahmoodi, Karim Hedayatian
Pages : 1114-1117
View : 6 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :A bounded linear operator $T$ on a Hilbert space is an isometric $N$-Jordan operator if it can be written as $A+Q$, where $A$ is an isometry and $Q$ is a nilpotent of order $N$ such that $AQ= QA$. In this paper, we will show that the only isometric $N$-Jordan weighted shift operators are isometries. This answers a question recently raised.Keywords : Isometric $N$-Jordan operator, nilpotent, weighted shift operator