on some normality-like properties and bishop's property (๐ฝ) for a class of operators on hilbert spaces
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2012
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Abstract
We prove some further properties of the operator ๐โ[๐QN]
(๐-power quasinormal, defined in Sid Ahmed, 2011). In particular we show that the operator
๐โ[๐QN] satisfying the translation invariant property is normal and that the
operator ๐โ[๐QN] is not supercyclic provided that it is not invertible. Also, we
study some cases in which an operator ๐โ[2QN] is subscalar of order ๐; that is, it is
similar to the restriction of a scalar operator of order ๐ to an invariant subspace.
| Reference Key |
mahmoud2012internationalon
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|---|---|
| Authors | ;Sid Ahmed Ould Ahmed Mahmoud |
| Journal | structural engineering and mechanics |
| Year | 2012 |
| DOI |
10.1155/2012/975745
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| URL | |
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