ps-Drazin Inverses in Banach Algebras

Creative Commons License

Chen H., ÇALCI T.

FILOMAT, cilt.33, sa.7, ss.2125-2133, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1907125c
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2125-2133
  • Anahtar Kelimeler: ps-Drazin inverse, multiplicative property, additive property, Banach algebra, JACOBSONS LEMMA, CLINES FORMULA, 2 ELEMENTS, EXTENSIONS, SUM
  • Ankara Üniversitesi Adresli: Evet

Özet

An element a in a Banach algebra A has ps-Drazin inverse if there exists p(2) = p is an element of comm(2)(a) such that (a - p)(k) is an element of J(A) for some k is an element of N. Let A be a Banach algebra, and let a, b is an element of have ps-Drazin inverses. If a(2)b = aba and b(2)a = bab, we prove that