Integral representations of the $g$-Drazin inverse in $C^*$-algebras
Mathematica Bohemica, Tome 129 (2004) no. 1, pp. 71-77

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
The paper gives new integral representations of the $g$-Drazin inverse of an element $a$ of a $C^*$-algebra that require no restriction on the spectrum of $a$. The representations involve powers of $a$ and of its adjoint.
The paper gives new integral representations of the $g$-Drazin inverse of an element $a$ of a $C^*$-algebra that require no restriction on the spectrum of $a$. The representations involve powers of $a$ and of its adjoint.
DOI : 10.21136/MB.2004.134109
Classification : 46H05, 46L05, 47A05
Keywords: $C^*$-algebra; $g$-Drazin inverse; integral representation
González, N. Castro; Koliha, J. J.; Wei, Yimin. Integral representations of the $g$-Drazin inverse in $C^*$-algebras. Mathematica Bohemica, Tome 129 (2004) no. 1, pp. 71-77. doi: 10.21136/MB.2004.134109
@article{10_21136_MB_2004_134109,
     author = {Gonz\'alez, N. Castro and Koliha, J. J. and Wei, Yimin},
     title = {Integral representations of the $g${-Drazin} inverse in $C^*$-algebras},
     journal = {Mathematica Bohemica},
     pages = {71--77},
     year = {2004},
     volume = {129},
     number = {1},
     doi = {10.21136/MB.2004.134109},
     mrnumber = {2048787},
     zbl = {1056.46048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134109/}
}
TY  - JOUR
AU  - González, N. Castro
AU  - Koliha, J. J.
AU  - Wei, Yimin
TI  - Integral representations of the $g$-Drazin inverse in $C^*$-algebras
JO  - Mathematica Bohemica
PY  - 2004
SP  - 71
EP  - 77
VL  - 129
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134109/
DO  - 10.21136/MB.2004.134109
LA  - en
ID  - 10_21136_MB_2004_134109
ER  - 
%0 Journal Article
%A González, N. Castro
%A Koliha, J. J.
%A Wei, Yimin
%T Integral representations of the $g$-Drazin inverse in $C^*$-algebras
%J Mathematica Bohemica
%D 2004
%P 71-77
%V 129
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134109/
%R 10.21136/MB.2004.134109
%G en
%F 10_21136_MB_2004_134109

[1] N. Castro González, J. J. Koliha: Perturbation of the Drazin inverse for closed linear operators. Integral Equations Operator Theory 36 (2000), 92–106. | DOI | MR

[2] N. Castro González, J. J. Koliha, Yimin Wei: On integral representation of the Drazin inverse in Banach algebras. Proc. Edinburgh Math. Soc. 45 (2002), 327–331. | MR

[3] M. P. Drazin: Pseudo-inverse in associative rings and semigroups. Amer. Math. Monthly 65 (1958), 506–514. | DOI | MR

[4] J. J. Koliha: A generalized Drazin inverse. Glasgow Math. J. 38 (1996), 367–381. | DOI | MR | Zbl

[5] J. J. Koliha: Isolated spectral points. Proc. Amer. Math. Soc. 124 (1996), 3417–4324. | DOI | MR | Zbl

[6] J. J. Koliha: The Drazin and Moore-Penrose inverse in $C^*$-algebras. Math. Proc. Roy. Irish Acad. 99A (1999), 17–27. | MR | Zbl

[7] J. J. Koliha, I. Straškraba: Power bounded and exponentially bounded matrices. Appl. Math. 44 (1999), 289–308. | DOI | MR

[8] D. Showalter: Representation and computation of the pseudoinverse. Proc. Amer. Math. Soc. 18 (1967), 584–586. | DOI | MR | Zbl

Cité par Sources :