Glasnik matematički, Vol. 55 No. 2, 2020.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.55.2.07
Further results on common properties of the products \(ac\) and \(bd\)
Qingping Zeng
; College of Computer and Information Sciences, Institute of Applied Mathematics, Fujian Agriculture and Forestry University, 350002 Fuzhou, P.R. China
Kai Yan
; College of Mathematics and Computer Science, Fuzhou University, 350108 Fuzhou, P.R. China
Zhenying Wu
; College of Mathematics and Informatics, Fujian Normal University, 350117 Fuzhou, P.R. China
Sažetak
In this paper, we continue to investigate common properties of the products \(ac\) and $bd$ in various categories under the assumption $acd=dbd$ and $dba=aca$. These properties include generalized strongly Drazin invertibility and generalized Hirano invertibility in rings, abstract index of Fredholm elements and B-Fredholm elements in the Banach algebra context, complementability of kernels and ranges for bounded linear operators on Banach spaces.
Ključne riječi
Jacobson's lemma; generalized inverse; complementability; index
Hrčak ID:
248667
URI
Datum izdavanja:
23.12.2020.
Posjeta: 1.068 *