|
Correction to ``The ghost of an index theorem''
Author(s):
Robin
Harte
Journal:
Proc. Amer. Math. Soc.
128
(2000),
3145-3148.
MSC (2000):
Primary 46B42;
Secondary 47A10, 47A53
Posted:
June 9, 2000
Original article:
Proc. Amer. Math. Soc. 106 (1989), 1031-1033.
MathSciNet review:
1769453
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
The ``ghost of an index theorem" is an isomorphism between products of the kernel spaces and the cokernel spaces of a pair of bounded operators and their product, valid when each operator and also the product is assumed to have a generalized inverse. In this note we correct an error in the original proof, and extend the result to operators with closed range.
References:
-
- 1.
- R. E. Harte, The ghost of an index theorem, Proc. Amer. Math. Soc. 106 (1989) 1031-1033. MR 92j:47029
- 2.
- R. E. Harte and M. Gonzalez, The death of an index theorem, Proc. Amer. Math. Soc. 108 (1990) 151-156. MR 90k:47022
- 3.
- R. E. Harte and W.Y. Lee, An index formula for chains, Studia Math. 116 (1995) 283-294. MR 96i:47021
- 4.
- K.-W. Yang, Index of Fredholm operators, Proc. Amer. Math. Soc. 41 (1973) 329-330. MR 47:7492
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
46B42,
47A10, 47A53
Retrieve articles in all Journals with
MSC (2000):
46B42,
47A10, 47A53
Additional Information:
Robin
Harte
Affiliation:
School of Mathematics, Trinity College, University of Dublin, Dublin 2, Ireland
Email:
rharte@maths.tcd.ie
DOI:
10.1090/S0002-9939-00-05885-8
PII:
S 0002-9939(00)05885-8
Received by editor(s):
March 10, 1999
Received by editor(s) in revised form:
June 3, 1999
Posted:
June 9, 2000
Communicated by:
David R. Larson
Copyright of article:
Copyright
2000,
American Mathematical Society
|
