Certain Properties Involving the Joint Essential Numerical Ranges

Cyprian, O. S.

dc.contributor.author	Cyprian, O. S.
dc.date.accessioned	2020-02-26T06:14:28Z
dc.date.available	2020-02-26T06:14:28Z
dc.date.issued	2020
dc.identifier.citation	Asian Research Journal of Mathematics, 16(3): 1-7, 2020; Article no.ARJOM.53829	en_US
dc.identifier.issn	2456-477X
dc.identifier.uri	http://www.journalarjom.com/index.php/ARJOM/article/view/30176/56624
dc.identifier.uri	http://repository.seku.ac.ke/handle/123456789/5943
dc.description	https://doi.org/10.9734/arjom/2020/v16i330176	en_US
dc.description.abstract	The concept of essential numerical range of an operator was dened and studied by Stamp i and Williams in 1972. Researchers generalised this idea of essential numerical range to a group of operators to the joint essential numerical range. In this paper, we consider the jointessential numerical range and show that the properties of the classical numerical range such as compactness also hold for the joint essential numerical range. Further, we show that the joint essential spectrum is contained in the joint essential numerical range by looking at the boundary of the joint essential spectrum.	en_US
dc.language.iso	en	en_US
dc.subject	Numerical range	en_US
dc.subject	joint essential numerical range	en_US
dc.subject	joint essential spectrum	en_US
dc.title	Certain Properties Involving the Joint Essential Numerical Ranges	en_US
dc.type	Article	en_US