References
- Drazin MP . A class of outer generalized inverses. Linear Algebra Appl. 2012;436:1909–1923.
- Mary X . On generalized inverse and Green’s relations. Linear Algebra Appl. 2011;434:1836–1844.
- Drazin MP . Commuting properties of generalized inverses. Linear Multilinear Algebra. 2013;61:1675–1681.
- Castro-González N , Chen J , Wang L . Further results on generalized inverses in rings with involution. Electron J Linear Algebra. 2015;30:118–134.
- Ke Y , Chen J . The Bott-Duffin (e, f)-inverses and their applications. Linear Algebra Appl. 2016;489:61–74.
- Ke Y , Wang Z , Chen J . The (b, c)-inverse for products and lower triangular matrices. J Algebra Appl. 2017;16:17 pages. DOI:10.1142/S021949881750222X
- Boasso E , Kantún-Montiel G . The (b, c)-inverse in rings and in the Banach context. Mediterr J Math. 2017;14: Art. 112, 21p.
- Rakić DS . A note on Rao and Mitra’s constrained inverse and Drazin’s (b, c) inverse. Linear Algebra Appl. 2017;523:102–108.
- Wang L , Castro-González N , Chen J . Characterizations of outer generalized inverses. Canad Math Bull. 2017;60:861–871.
- Mary X . Natural generalized inverse and core of an element in semigroups, rings and Banach and operator algebras. Eur J Pure Appl Math. 2012;5:160–173.
- Mary X , Patrício P . The inverse along a lower triangular matrix. Appl Math Comput. 2012;219:886–891.
- Mary X , Patrício P . Generalized inverses modulo ℋ in semigroups and rings. Linear Multilinear Algebra. 2013;61:1130–1135.
- Benítez J , Boasso E . The inverse along an element in rings. Electron J Linear Algebra. 2016;31:572–592.
- Zhu H , Patrício P , Chen J , et al . The inverse along a product and its applications. Linear Multilinear Algebra. 2016;64:834–841.
- Zou H , Chen J , Li T , et al . Characterizations and representations of the inverse along an element. Bull Malays Math Sci Soc. 2016. DOI:10.1007/s40840-016-0430-3
- Benítez J , Boasso E . The inverse along an element in rings with an involution, Banach algebras and C*-algebras. Linear Multilinear Algebra. 2017;65:284–299.
- Yu Y , Wei Y . The representation and computational procedures for the generalized inverse A(2) T, S of an operator A in Hilbert spaces. Numer Funct Anal Optim. 2009;30:168–182.
- Liu X , Yu Y , Zhong J , et al . Integral and limit representations of the outer inverse in Banach space. Linear Multilinear Algebra. 2012;60:333–347.
- Du F , Xue Y . Perturbation analysis of A(2) T, S on Banach spaces. Electron J Linear Algebra. 2012;23:586–598.
- Vidav I . Eine metrische Kennzeichnung der selbstadjungierten. Operatoren Math Z. 1956;66:121–128.
- Dowson HR . Spectral theory of linear operators. London: Academic Press; 1978.
- Bonsall FF , Duncan J . Complete normed algebras. Berlin: Springer; 1973.
- Rakočević V . Moore-Penrose inverse in Banach algebras. Proc Roy Irish Acad Sect A. 1988;88:57–60.
- Harte R , Mbekhta M . On generalized inverses in C*-algebras. Studia Math. 1992;103:71–77.
- Boasso E . On the Moore-Penrose inverse, EP Banach space operators and EP Banach algebra elements. J Math Anal Appl. 2008;339:1003–1014.
- Penrose R . A generalized inverse for matrices. Proc Cambridge Philos Soc. 1955;51:406–413.
- Harte R , Mbekhta M . On generalized inverses in C*-algebras II. Studia Math. 1993;106:129–138.
- Koliha JJ . Continuity and differentiability of the Moore-Penrose inverse in C*-algebras. Math Scand. 2001;88:154–160.
- Rakočević V . On the continuity of the Moore-Penrose inverse in Banach algebras. Facta Univ Ser Math Inform. 1991;6:133–138.
- Kato T . Perturbation theory for linear operators. Berlin: Springer; 1980.
- Rakočević V . Continuity of the Drazin inverse. J Operator Theory. 1999;41:55–68.
- Koliha JJ , Rakočević V . Continuity of the Drazin inverse II. Studia Math. 1998;131:167–177.
- Palmer T . Unbounded normal operators on Banach spaces. Trans Amer Math Soc. 1968;133:385–414.