Integral representations of the $g$-Drazin inverse in $C^*$-algebras
Mathematica Bohemica, Tome 129 (2004) no. 1, pp. 71-77
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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
Keywords: $C^*$-algebra; $g$-Drazin inverse; integral representation
@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},
publisher = {mathdoc},
volume = {129},
number = {1},
year = {2004},
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 PB - mathdoc 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 %I mathdoc %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
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
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