on some normality-like properties and bishop's property (๐›ฝ) for a class of operators on hilbert spaces

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ID: 222191
2012
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Abstract
We prove some further properties of the operator ๐‘‡โˆˆ[๐‘›QN] (๐‘›-power quasinormal, defined in Sid Ahmed, 2011). In particular we show that the operator ๐‘‡โˆˆ[๐‘›QN] satisfying the translation invariant property is normal and that the operator ๐‘‡โˆˆ[๐‘›QN] is not supercyclic provided that it is not invertible. Also, we study some cases in which an operator ๐‘‡โˆˆ[2QN] is subscalar of order ๐‘š; that is, it is similar to the restriction of a scalar operator of order ๐‘š to an invariant subspace.
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mahmoud2012internationalon Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
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Journal structural engineering and mechanics
Year 2012
DOI
10.1155/2012/975745
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