On Some Normality-Like Properties and Bishop's Property ( ð ›½ ) for a Class of Operators on Hilbert Spaces

Sid Ahmed Ould Ahmed Mahmoud

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-20

Abstract:

We prove some further properties of the operator 𠑇 ∈ [ 𠑛 Q N ] ( 𠑛 -power quasinormal, defined in Sid Ahmed, 2011). In particular we show that the operator 𠑇 ∈ [ 𠑛 Q N ] satisfying the translation invariant property is normal and that the operator 𠑇 ∈ [ 𠑛 Q N ] is not supercyclic provided that it is not invertible. Also, we study some cases in which an operator 𠑇 ∈ [ 2 Q N ] is subscalar of order 𠑚 ; that is, it is similar to the restriction of a scalar operator of order 𠑚 to an invariant subspace.

Date: 2012
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2012/975745.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2012/975745.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:975745

DOI: 10.1155/2012/975745

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().