Remarks on Essential Maximal Numerical Range of Aluthge Transform

Cyprian, O. S.; Chikamai, L.; Aywa, S.

dc.contributor.author	Cyprian, O. S.
dc.contributor.author	Chikamai, L.
dc.contributor.author	Aywa, S.
dc.date.accessioned	2020-03-11T07:08:49Z
dc.date.available	2020-03-11T07:08:49Z
dc.date.issued	2019
dc.identifier.citation	International Journal of Pure Mathematical Sciences, Vol. 20, pp 1-5	en_US
dc.identifier.issn	2297-6205
dc.identifier.issn	https://www.scipress.com/IJPMS.20.1.pdf
dc.identifier.uri	http://repository.seku.ac.ke/handle/123456789/6012
dc.description	DOI: https://doi.org/10.18052/www.scipress.com/IJPMS.20.1	en_US
dc.description.abstract	This paper focuses on the properties of the essential maximal numerical range of Aluthge transform Te. For instance, among other results, we show that the essential maximal numerical range of Aluthge transform is nonempty and convex. Further, we prove that the essential maximal numerical range of Aluthge transform Te is contained in the essential maximal numerical range of T. This study is therefore an extention of the research on Aluthge transform which was begun by Aluthge in his study of p−hyponormal operators.	en_US
dc.language.iso	en	en_US
dc.publisher	SciPress	en_US
dc.subject	Aluthge Transform T	en_US
dc.subject	Hilbert Space	en_US
dc.subject	Joint Maximal Numerical Range of T	en_US
dc.subject	Maximal Numerical Range of T	en_US
dc.title	Remarks on Essential Maximal Numerical Range of Aluthge Transform	en_US
dc.type	Article	en_US