Geodesic
On the weighted pseudo Drazin invertible elements in associative rings and Banach algebras
Filomat, Tome 33 (2019) no. 19, p. 6359

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DOI

In this paper, we introduce and investigate the weighted pseudo Drazin inverse of elements in associative rings and Banach algebras. Some equivalent conditions for the existence of the w-pseudo Drazin inverse of a + b are given. Using the Pierce decomposition, the representations for the w-pseudo Drazin inverse are given in Banach algebras
DOI : 10.2298/FIL1919359C
Classification : 15A09, 46H05
Keywords: Weighted pseudo Drazin inverse, rings, Banach algebras 
Jianlong Chen; Xiaofeng Chen; Hassane Zguitti. On the weighted pseudo Drazin invertible elements in associative rings and Banach algebras. Filomat, Tome 33 (2019) no. 19, p. 6359 . doi: 10.2298/FIL1919359C
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     author = {Jianlong Chen and Xiaofeng Chen and Hassane Zguitti},
     title = {On the weighted pseudo {Drazin} invertible elements in associative rings and {Banach} algebras},
     journal = {Filomat},
     pages = {6359 },
     year = {2019},
     volume = {33},
     number = {19},
     doi = {10.2298/FIL1919359C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919359C/}
}
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