Generalized inverses in C*-algebras II

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

Abstrakty

EN

Commutativity and continuity conditions for the Moore-Penrose inverse and the "conorm" are established in a C*-algebra; moreover, spectral permanence and B*-properties for the conorm are proved.

Kategorie tematyczne

• 46L05: General theory of C * -algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 106
• Numer: 2
• Strony: 129-138

Daty

wydano

1993

otrzymano

1992-03-03

poprawiono

1993-03-17

Twórcy

autor

Robin Harte

• Queen's University, Belfast BT7 1NN, UK

autor

Mostafa Mbekhta

• Université De Lille I, 59655 Villeneuve d'Ascq Cedex, France

Bibliografia

• [1] C. Apostol, The reduced minimum modulus, Michigan Math. J. 32 (1985), 279-294.
• [2] K. G. Brock, A note on commutativity of a linear operator and its Moore-Penrose inverse, Numer. Funct. Anal. Optim. 11 (1990), 673-678.
• [3] S. R. Caradus, Generalized Inverses and Operator Theory, Queen's Papers in Pure and Appl. Math. 50, Queen's Univ., Kingston, Ont., 1978.
• [4] C. W. Groetsch, Representations of the generalized inverse, J. Math. Anal. Appl. 49 (1975), 154-157.
• [5] P. R. Halmos, A Hilbert Space Problem Book, Van Nostrand, New York 1967.
• [6] R. E. Harte, Invertibility and Singularity, Dekker, New York 1988.
• [7] R. E. Harte and M. Mbekhta, On generalized inverses in C*-algebras, Studia Math. 103 (1992), 71-77.
• [8] R. E. Harte and M. Ó Searcóid, Positive elements and the B* condition, Math. Z. 193 (1986), 1-9.
• [9] T. Kato, Perturbation Theory for Linear Operators, Springer, New York 1966.
• [10] M. Mbekhta, Conorme et inverse généralisé dans les C*-algèbres, Canad. Math. Bull. 35 (1992), 515-522.
• [11] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc. 51 (1955), 406-413.
• [12] A. Pietsch, Operator Ideals, North-Holland, 1980.