Correction to “The ghost of an index theorem”
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- by Robin Harte PDF
- Proc. Amer. Math. Soc. 128 (2000), 3145-3148 Request permission
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
- Robin Harte, The ghost of an index theorem, Proc. Amer. Math. Soc. 106 (1989), no. 4, 1031–1033. MR 975646, DOI 10.1090/S0002-9939-1989-0975646-8
- Manuel Gonzales and Robin Harte, The death of an index theorem, Proc. Amer. Math. Soc. 108 (1990), no. 1, 151–156. MR 1024261, DOI 10.1090/S0002-9939-1990-1024261-7
- Robin Harte and Woo Young Lee, An index formula for chains, Studia Math. 116 (1995), no. 3, 283–294. MR 1360708
- Kung Wei Yang, Index of Fredholm operators, Proc. Amer. Math. Soc. 41 (1973), 329–330. MR 318946, DOI 10.1090/S0002-9939-1973-0318946-5
Additional Information
- Robin Harte
- Affiliation: School of Mathematics, Trinity College, University of Dublin, Dublin 2, Ireland
- Email: rharte@maths.tcd.ie
- Received by editor(s): March 10, 1999
- Received by editor(s) in revised form: June 3, 1999
- Published electronically: June 9, 2000
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3145-3148
- MSC (2000): Primary 46B42; Secondary 47A10, 47A53
- DOI: https://doi.org/10.1090/S0002-9939-00-05885-8
- MathSciNet review: 1769453