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Correction to ``The ghost of an index theorem''


Author: Robin Harte
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
Published electronically: June 9, 2000
Original Article: Proc. Amer. Math. Soc. 106 (1989), 1031-1033.
MathSciNet review: 1769453
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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 [Enhancements On Off] (What's this?)

  • 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

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Additional Information

Robin Harte
Affiliation: School of Mathematics, Trinity College, University of Dublin, Dublin 2, Ireland
Email: rharte@maths.tcd.ie

DOI: https://doi.org/10.1090/S0002-9939-00-05885-8
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
Article copyright: © Copyright 2000 American Mathematical Society

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