Continuity of the Drazin inverse II

Studia Mathematica

Volumn 131, Issue 2, 1998, Pages 167-177

  Koliha, J J ^a   Rakocevic V ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIVERSITY OF NI   (Serbia)

Author keywords

Banach algebra; Bounded linear operator; Continuity of the Drazin inverse; Generalized Drazin inverse

Indexed keywords

EID: 0000939525     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. S. L. Campbell and C. D. Meyer, Continuity properties of the Drazin inverse, Linear Algebra Appl. 10 (1975), 77-83.
2. _, Generalized Inverses of Linear Transformations, Pitman, London, 1979.
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. M. P. Drazin, Pseudo-inverse in associative rings and semigroups, Amer. Math. Monthly 65 (1958), 506-514.
5. I. C. Gohberg and A. S. Markus, Two theorems on the opening between subspaces of a Banach space, Uspekhi Mat. Nauk 14 (1959), no. 5, 135-140 (in Russian).
6. R. E. Harte, Spectral projections, Irish Math. Soc. Newsletter 11 (1984), 10-15.
7. T. Kato, Perturbation Theory for Linear Operators, 2nd ed., Springer, Berlin, 1980.
8. C. F. King, A note on Drazin inverses, Pacific J. Math. 70 (1977), 383-390.
9. J. J. Koliha, A generalized Drazin inverse, Glasgow Math. J. 38 (1996), 367-381.
10. _, Isolated spectral points, Proc. Amer. Math. Soc. 124 (1996), 3417-3424.
11. A. S. Markus, On some properties of linear operators connected with the notion of the gap, Uchen. Zap. Kishinev. Gos. Univ. 39 (1959), 265-272 (in Russian).
12. T. W. Palmer, Banach Algebras and the General Theory of *-Algebras, Vol. I, Encyclopedia Math. Appl. 49, Cambridge Univ. Press, Cambridge, 1994.
13. V. Rakočević, Continuity of the Drazin inverse, J. Operator Theory, to appear.
14. V. Rakočević, On the continuity of the Moore-Penrose inverse in Banach algebras, Facta Univ. (Niš) Ser. Math. Inform. 6 (1991), 133-138.
15. C. E. Rickart, General Theory of Banach Algebras, Van Nostrand Reinhold, New York, 1960.