On generalized inverses in C*-algebras

Robin Harte; Mostafa Mbekhta

Studia Mathematica (1992)

  • Volume: 103, Issue: 1, page 71-77
  • ISSN: 0039-3223

Abstract

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We investigate when a C*-algebra element generates a closed ideal, and discuss Moore-Penrose and commuting generalized inverses.

How to cite

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Harte, Robin, and Mbekhta, Mostafa. "On generalized inverses in C*-algebras." Studia Mathematica 103.1 (1992): 71-77. <http://eudml.org/doc/215936>.

@article{Harte1992,
abstract = {We investigate when a C*-algebra element generates a closed ideal, and discuss Moore-Penrose and commuting generalized inverses.},
author = {Harte, Robin, Mbekhta, Mostafa},
journal = {Studia Mathematica},
keywords = {-algebra element; closed ideal; Moore-Penrose and commuting generalized inverses},
language = {eng},
number = {1},
pages = {71-77},
title = {On generalized inverses in C*-algebras},
url = {http://eudml.org/doc/215936},
volume = {103},
year = {1992},
}

TY - JOUR
AU - Harte, Robin
AU - Mbekhta, Mostafa
TI - On generalized inverses in C*-algebras
JO - Studia Mathematica
PY - 1992
VL - 103
IS - 1
SP - 71
EP - 77
AB - We investigate when a C*-algebra element generates a closed ideal, and discuss Moore-Penrose and commuting generalized inverses.
LA - eng
KW - -algebra element; closed ideal; Moore-Penrose and commuting generalized inverses
UR - http://eudml.org/doc/215936
ER -

References

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  1. [1] K. R. Goodearl, Notes on Real and Complex C*-Algebras, Shiva, 1982. 
  2. [2] R. E. Harte, Fredholm, Weyl and Browder theory, Proc. Royal Irish Acad. 85A (1985), 151-176. 
  3. [3] R. E. Harte, Invertibility and Singularity, Dekker, 1988. 
  4. [4] R. E. Harte and M. Ó Searcóid, Positive elements and the B* condition, Math. Z. 193 (1986), 1-9. Zbl0611.46061
  5. [5] I. Kaplansky, Rings of Operators, Benjamin, 1968. Zbl0174.18503
  6. [6] T. Kato, Perturbation Theory for Linear Operators, Springer, 1966. Zbl0148.12601
  7. [7] Z. V. Kovarik, Similarity and interpolation between projectors, Acta Sci. Math. (Szeged) 39 (1977), 341-351. Zbl0392.47008

Citations in EuDML Documents

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  1. Robin Harte, Mostafa Mbekhta, Generalized inverses in C*-algebras II
  2. K. Laursen, M. Mbekhta, Closed range multipliers and generalized inverses
  3. J. Koliha, Elements of C*-algebras commuting with their Moore-Penrose inverse
  4. Dragan S. Djordjević, Stanimirović, Predrag S., On the generalized Drazin inverse and generalized resolvent
  5. Ruju Zhao, Hua Yao, Junchao Wei, Characterizations of partial isometries and two special kinds of EP elements
  6. Laura Burlando, Robin Harte, The closure of the invertibles in a von Neumann algebra
  7. Haïkel Skihri, Les opérateurs semi-Fredholm sur des espaces de Hilbert non séparables
  8. Steffen Roch, Bernd Silbermann, Continuity of generalized inverses in Banach algebras
  9. Mostafa Mbekhta, Rodolphe Paul, Sur la conorme essentielle

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