Integral representations of the g -Drazin inverse in C * -algebras

N. Castro González; Jaromír J. Koliha; Yi Min Wei

Mathematica Bohemica (2004)

  • Volume: 129, Issue: 1, page 71-77
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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González, N. Castro, Koliha, Jaromír J., and Wei, Yi Min. "Integral representations of the $g$-Drazin inverse in $C^*$-algebras." Mathematica Bohemica 129.1 (2004): 71-77. <http://eudml.org/doc/249414>.

@article{González2004,
abstract = {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.},
author = {González, N. Castro, Koliha, Jaromír J., Wei, Yi Min},
journal = {Mathematica Bohemica},
keywords = {$C^*$-algebra; $g$-Drazin inverse; integral representation; -algebra; -Drazin inverse; integral representation},
language = {eng},
number = {1},
pages = {71-77},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Integral representations of the $g$-Drazin inverse in $C^*$-algebras},
url = {http://eudml.org/doc/249414},
volume = {129},
year = {2004},
}

TY - JOUR
AU - González, N. Castro
AU - Koliha, Jaromír J.
AU - Wei, Yi Min
TI - Integral representations of the $g$-Drazin inverse in $C^*$-algebras
JO - Mathematica Bohemica
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 129
IS - 1
SP - 71
EP - 77
AB - 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.
LA - eng
KW - $C^*$-algebra; $g$-Drazin inverse; integral representation; -algebra; -Drazin inverse; integral representation
UR - http://eudml.org/doc/249414
ER -

References

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  1. 10.1007/BF01236288, Integral Equations Operator Theory 36 (2000), 92–106. (2000) MR1736919DOI10.1007/BF01236288
  2. On integral representation of the Drazin inverse in Banach algebras, Proc. Edinburgh Math. Soc. 45 (2002), 327–331. (2002) MR1912642
  3. 10.2307/2308576, Amer. Math. Monthly 65 (1958), 506–514. (1958) MR0098762DOI10.2307/2308576
  4. 10.1017/S0017089500031803, Glasgow Math. J. 38 (1996), 367–381. (1996) Zbl0897.47002MR1417366DOI10.1017/S0017089500031803
  5. 10.1090/S0002-9939-96-03449-1, Proc. Amer. Math. Soc. 124 (1996), 3417–4324. (1996) Zbl0864.46028MR1342031DOI10.1090/S0002-9939-96-03449-1
  6. The Drazin and Moore-Penrose inverse in C * -algebras, Math. Proc. Roy. Irish Acad. 99A (1999), 17–27. (1999) Zbl0943.46031MR1883060
  7. 10.1023/A:1023032629988, Appl. Math. 44 (1999), 289–308. (1999) MR1698770DOI10.1023/A:1023032629988
  8. 10.1090/S0002-9939-1967-0212594-0, Proc. Amer. Math. Soc. 18 (1967), 584–586. (1967) Zbl0148.38205MR0212594DOI10.1090/S0002-9939-1967-0212594-0

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