ArticleOriginal scientific text

Title

On generalized inverses in C*-algebras

Authors 1, 2

Affiliations

  1. Queen's University, Belfast, BT7 1NN, Northern Ireland, U.K.
  2. Université de Lille, 59655 Villeneuve d'Ascq Cedex, France

Abstract

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

Bibliography

  1. K. R. Goodearl, Notes on Real and Complex C*-Algebras, Shiva, 1982.
  2. R. E. Harte, Fredholm, Weyl and Browder theory, Proc. Royal Irish Acad. 85A (1985), 151-176.
  3. R. E. Harte, Invertibility and Singularity, Dekker, 1988.
  4. R. E. Harte and M. Ó Searcóid, Positive elements and the B* condition, Math. Z. 193 (1986), 1-9.
  5. I. Kaplansky, Rings of Operators, Benjamin, 1968.
  6. T. Kato, Perturbation Theory for Linear Operators, Springer, 1966.
  7. Z. V. Kovarik, Similarity and interpolation between projectors, Acta Sci. Math. (Szeged) 39 (1977), 341-351.
Pages:
71-77
Main language of publication
English
Received
1991-08-17
Accepted
1992-01-22
Published
1992
Exact and natural sciences