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The death of an index theorem


Authors: Manuel Gonzales and Robin Harte
Journal: Proc. Amer. Math. Soc. 108 (1990), 151-156
MSC: Primary 47A53
DOI: https://doi.org/10.1090/S0002-9939-1990-1024261-7
MathSciNet review: 1024261
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Abstract: If the "index theorem" for Fredholm operators sometimes hold in the absence of an index [4], then also it sometimes fails in the presence of and index.


References [Enhancements On Off] (What's this?)

  • [1] R. E. Harte, Fredholm, Weyl and Browder theory, Proc. Roy. Irish Acad. Sect. A 85 (1986), 151-176. MR 845539 (87h:47029)
  • [2] -, Regular boundary elements, Proc. Amer. Math. Soc. 99 (1987), 328-330. MR 870795 (88d:46088)
  • [3] -, Invertibility and singularity, Dekker, New York, 1988.
  • [4] -, The ghost of an index theorem, Proc. Amer. Math. Soc., 106 (1989), 1031-1034. MR 975646 (92j:47029)
  • [5] D. Sarason, The multiplication theorem for Fredholm operators, Amer. Math. Monthly 94 (1987), 68-70. MR 873608 (88c:47021)
  • [6] K. W. Yang, Index of Fredholm operators, Proc. Amer. Math. Soc 41 (1973), 329-330. MR 0318946 (47:7492)

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DOI: https://doi.org/10.1090/S0002-9939-1990-1024261-7
Article copyright: © Copyright 1990 American Mathematical Society

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