<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BOUYELLI, ANTAR</style></author><author><style face="normal" font="default" size="100%">MENNOUNI, ABDELAZIZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">INVESTIGATING THE EXTENDED SPECTRUM: OPERATOR GROUP INVERSE AND DRAZIN INVERSE</style></title><secondary-title><style face="normal" font="default" size="100%">Asia Pacific Journal of Mathematics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2025</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://apjm.apacific.org/PDFs/12-85.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	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.
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</style></abstract><issue><style face="normal" font="default" size="100%">85</style></issue></record></records></xml>