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Algebraic topology and operators in Hilbert space

Geometric and Qualitative Aspects of Analysis

Part of the Lecture Notes in Mathematics book series (LNM,volume 103)

Keywords

  • Hilbert Space
  • Vector Bundle
  • Compact Space
  • Banach Algebra
  • Isomorphism Class

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References

  1. M. F. Atiyah, K-Theory (Benjamin, 1967).

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  2. -M. F. Atiyah, “Bott periodicity and the index of elliptic operators”, Quart. J. Math. Oxford, 1968 (to appear).

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  3. -, “Algebraic topology and elliptic operators”, Comm. Pure Appl. Math. 20 (1967), 237–249.

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  4. -M. F. Atiyah and I. M. Singer, “The index of elliptic operators I”, Ann. of Math., 1968 (to appear).

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  5. I. C. Gohberg and M. G. Krein, “Systems of integral equations on a half-line with kernels depending on the difference of arguments”, Uspehi Mat. Nauk 13 (1958), 3–72. = Amer. Math. Soc. Translations (2) 14, 217–187.

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© 1969 Springer-Verlag

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Atiyah, M.F. (1969). Algebraic topology and operators in Hilbert space. In: Taam, C.T. (eds) Lectures in Modern Analysis and Applications I. Lecture Notes in Mathematics, vol 103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099987

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  • DOI: https://doi.org/10.1007/BFb0099987

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04622-6

  • Online ISBN: 978-3-540-36145-9

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