A note on a-self -adjoint and a-skew -adjoint operators and their extensions
Date
2012Author
Nzimbi, B .M
Pokhariyal, G.P
Moindi, S.K
Type
ArticleLanguage
enMetadata
Show full item recordAbstract
In this paper we introduce the notions of an A-self-adjoint, an A-skewadjoint
linear operator, where A is a self-adjoint and invertible operator
and related classes of operators, which generalize some known classes of
operators. We investigate some properties of these operators and show that
these operators share some properties with some known classes of
operators. We prove some results on some equivalence of these operators
and investigate conditions under which these operators are self-adjoint,
unitary, skew-adjoint, normal, hyponormal, quasinormal or binormal. We
also attempt to locate the spectra of such operators
URI
http://www.pspchv.com/content_PJMMS.htmlhttp://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/11616
Citation
Pioneer Journal of Mathematics and Mathematical Sciences Volume …, Number …, 2012, PagesPublisher
School of mathematics