Perturbation for the Group Inverse in a Banach Algebra

Liu D., Calci T., KÖSE H., Chen H.

AXIOMS, cilt.14, sa.8, 2025 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 8
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3390/axioms14080628
  • Dergi Adı: AXIOMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Ankara Üniversitesi Adresli: Evet

Özet

We present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of parallel to(a+b)#-ad parallel to is thereby given. These results extend the main results presented by Liu, Qin, and Wei. We then apply them to establish the representation of the group inverse of a+b under a kind of commutative perturbation condition. Finally, some numerical examples are given to demonstrate the main results.