On generalized inverses in C*-algebras

• Autorzy: Robin Harte , Mostafa Mbekhta
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 46L05: General theory of C * -algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1992
• Tom: 103
• Numer: 1
• Strony: 71-77

Daty

wydano

1992

otrzymano

1991-08-17

poprawiono

1992-01-22

Twórcy

autor

Robin Harte

• Queen's University, Belfast, BT7 1NN, Northern Ireland, U.K.

autor

Mostafa Mbekhta

• Université de Lille, 59655 Villeneuve d'Ascq Cedex, France

Bibliografia

• [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.