@article {102158,
	title = {INVESTIGATING THE EXTENDED SPECTRUM: OPERATOR GROUP INVERSE AND DRAZIN INVERSE},
	journal = {Asia Pacific Journal of Mathematics},
	volume = {12},
	number = {85},
	year = {2025},
	abstract = {
	This paper investigates the relationship between the extended spectrum of a bounded linear operator and its group inverse. We also establish a connection between the extended spectrum of the bounded linear operator and that of its Drazin inverse. As part of our analysis, we prove the following equality: σext((BA)D) = σext((AB)D), where (BA)D and (AB)D represent the Drazin inverses of BA and AB, respectively. 2020 Mathematics Subject Classification. 35K15; 35K55; 35K65; 35B40. Key words and phrases. extended spectrum; operator group inverse; Drazin inverse.

},
	url = {https://apjm.apacific.org/PDFs/12-85.pdf},
	author = {BOUYELLI, ANTAR and MENNOUNI, ABDELAZIZ}
}
