Study of non-normal operators in a complex Hilbert space
dc.contributor.author | Mile, Justus K. | |
dc.contributor.author | Rao, G. K. R. | |
dc.contributor.author | Ogonji, John A | |
dc.contributor.author | Simiyu, Achiles N | |
dc.date.accessioned | 2013-05-07T10:38:51Z | |
dc.date.available | 2013-05-07T10:38:51Z | |
dc.date.issued | 2008 | |
dc.identifier.citation | Journal of Mathematical Sciences Vo1.l9, No.2 (20.0.8) 153-161 | en |
dc.identifier.uri | http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/19757 | |
dc.description.abstract | This paper is on some special characteristics of non-normal operators. We first seek to show that if a bounded operator Tis paranormal: what about Tl? Here its enough to find aTE 8(H) for which Tl is not hyponormal but Tis hyponormal. Similarly, we also use this result to prove that if T is paranormal then so is 7". We also show that if T is k-paranormal, then it is normaloid. We discuss a result that gives a sufficient condition for an operator to be k-paranormal using spectral theorem of self-adjoint operators. Lastly in this paper we show that the class of k-hyperparanormal operators is strictly smaller than the class of k-paranormal operators and the strong closure of hypo normal operators is contained in the class of paranormal operators. | en |
dc.language.iso | en | en |
dc.title | Study of non-normal operators in a complex Hilbert space | en |
dc.type | Article | en |