On relation between the joint essential spectrum and the joint essential numerical range of aluthge transform

Sakwa, Cyprian O.

dc.contributor.author	Sakwa, Cyprian O.
dc.date.accessioned	2025-07-03T09:36:48Z
dc.date.available	2025-07-03T09:36:48Z
dc.date.issued	2021-08-13
dc.identifier.citation	Journal of advances in mathematics and computer science, volume 36, issue 8, 2021	en_US
dc.identifier.issn	2456-9968
dc.identifier.uri	https://www.journaljamcs.com/index.php/JAMCS/article/view/1604/3212
dc.identifier.uri	http://repository.seku.ac.ke/xmlui/handle/123456789/8095
dc.description	DOI: 10.9734/jamcs/2021/v36i830386	en_US
dc.description.abstract	Associated with every commuting m-tuples of operators on a complex Hilbert space X is its Aluthge transform. In this paper we show that every commuting m-tuples of operators on a complex Hilbert space X and its Aluthge transform have the same joint essential spectrum. Further, it is shown that the joint essential spectrum of Aluthge transform is contained in the joint essential numerical range of Aluthge transform.	en_US
dc.language.iso	en	en_US
dc.subject	Aluthge transform	en_US
dc.subject	joint essential spectrum	en_US
dc.subject	joint essential numerical range	en_US
dc.title	On relation between the joint essential spectrum and the joint essential numerical range of aluthge transform	en_US
dc.type	Article	en_US