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. Laura Burlando, Robin Harte, The closure of the invertibles in a von Neumann algebra
  6. Haïkel Skihri, Les opérateurs semi-Fredholm sur des espaces de Hilbert non séparables
  7. Steffen Roch, Bernd Silbermann, Continuity of generalized inverses in Banach algebras
  8. Mostafa Mbekhta, Rodolphe Paul, Sur la conorme essentielle

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