Inthis paper, we present an extended Jacobson?s lemma for g-Drazin inverse in Banach algebras. Let A be a Banach algebra, and let a, b, c, d ? A satisfying (ac)2… Click to show full abstract
Inthis paper, we present an extended Jacobson?s lemma for g-Drazin inverse in Banach algebras. Let A be a Banach algebra, and let a, b, c, d ? A satisfying (ac)2 a = acdba = dbaca = (db)2 a; (ac)2 d = acdbd = dbacd = (db)2 d. Then 1-ac ? Ad if and only if 1-bd ? Ad. Related generalized Jacobson?s lemma for Drazin, core and p-core inverses in a Banach algebra are thereby obtained.
Keywords:
jacobson;
lemma generalized;
algebra;
extended jacobson;
jacobson lemma
Journal Title: Filomat
Year Published: 2024
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Journal Title: Filomat
Year Published: 2024
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!