On Some Normality-Like Properties and Bishop's Property (β) for a Class of Operators on Hilbert Spaces
نویسنده
چکیده
We prove some further properties of the operator T ∈ nQN n-power quasinormal, defined in Sid Ahmed, 2011 . In particular we show that the operator T ∈ nQN satisfying the translation invariant property is normal and that the operator T ∈ nQN is not supercyclic provided that it is not invertible. Also, we study some cases in which an operator T ∈ 2QN is subscalar of order m; that is, it is similar to the restriction of a scalar operator of order m to an invariant subspace.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012