Geodesic
Pseudo-generalized inverse II
Filomat, Tome 36 (2022) no. 13, p. 4575

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DOI

The purpose of this paper is to continue the study initiated in [7] concerning the notion of pseudo-generalized inverse. In this work, we are interested in investigating the relationship between compactness, finite rank and pseudo-generalized invertibility for bounded operators. The preserving properties of products of pseudo-generalized invertible operators are also treated and related results are given. At the end of this paper, we discuss in some special cases the relationship between the sets of n-left pseudo-generalized inverses of a left pseudo-generalized invertible operator T.
DOI : 10.2298/FIL2213575L
Classification : 47A05, 47A65, 47A53
Keywords: Banach space, bounded operator, generalized invertible operator, normal operator, Drazin invertible operator, Fredholm operator 
Asma Lahmar; Haïkel Skhiri. Pseudo-generalized inverse II. Filomat, Tome 36 (2022) no. 13, p. 4575 . doi: 10.2298/FIL2213575L
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     author = {Asma Lahmar and Ha{\"\i}kel Skhiri},
     title = {Pseudo-generalized inverse {II}},
     journal = {Filomat},
     pages = {4575 },
     year = {2022},
     volume = {36},
     number = {13},
     doi = {10.2298/FIL2213575L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2213575L/}
}
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