Geodesic
Pseudo-generalized inverse I
Filomat, Tome 36 (2022) no. 8, p. 2551

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DOI

The purpose of this paper is to introduce and study a new class of operators that we call pseudo-generalized invertible operators. This class includes both the class of generalized invertible operators and the class of Drazin invertible operators. Some results connected with ascent and essential ascent are also obtained for this new class. The relationship between pseudo-generalized invertible operators, semi-Fredholm operators and generalized invertible operators is explored.
DOI : 10.2298/FIL2208551L
Classification : 47A05, 47A65, 47B01, 47B02, 47A53
Keywords: Bounded operator, generalized invertible operator, 11-inverse, 12-inverse, nilpotent operator, ascent, descent, semi- Fredholm, Drazin invertible operator, essential ascent, essential descent 
Asma Lahmar; Haïıkel Skhiri. Pseudo-generalized inverse I. Filomat, Tome 36 (2022) no. 8, p. 2551 . doi: 10.2298/FIL2208551L
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     author = {Asma Lahmar and Ha{\"\i}{\i}kel Skhiri},
     title = {Pseudo-generalized inverse {I}},
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     pages = {2551 },
     year = {2022},
     volume = {36},
     number = {8},
     doi = {10.2298/FIL2208551L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2208551L/}
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