Skip to main content
Log in

Base change and the Fredholm index

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. ATIYAH, M.F.K-theory, Benjamin, New-York, Amsterdam, 1967.

    Google Scholar 

  2. BĂNICĂ, C.; STĂNĂSILĂ, O.:Méthodes algébriques dans la théorie globale des espaces complexes, Gauthier-Villars, Paris, 1977.

    Google Scholar 

  3. BASS, H.:Algebraic K-theory, Benjamin, New-York, Amsterdam, 1968.

    Google Scholar 

  4. CAREY, T.; PINCUS, J.: Operator theory and boundaries of complex curves, preprint, 1982.

  5. CURTO, R.E.: Fredholm and invertible tuples of operators. The deformation problem,Trans. Amer. Math. Soc. 266 (1981), 129–159.

    Google Scholar 

  6. CURTO, R.E.; MUHLY, P.: C*-algebras of multiplication operators on Bergman spaces, preprint, 1983.

  7. CURTO, R.E.; SALINAS, N.: Generalized Bergman kernels and the Cowen-Douglas theory, preprint, 1982.

  8. DOUGLAS, R.G.; VOICULESCU, D.: On the smoothness of sphere extensions,J. Operator Theory 6 (1981), 103–111.

    Google Scholar 

  9. FAINSTEIN, A.S.: SHULMAN, V.S.: On Fredholm complexes of Banach spaces (Russian),Funct. Analysis and Appl. 14 (1980), 87–88.

    Google Scholar 

  10. FAINSTEIN, A.S.; SHULMAN, V.S.: Stability of the index of a short Fredholm complex of Banach spaces under small perturbation in the non-compactness measure (Russian), in “Spectral theory of operators”,4, Baku, 1982.

  11. FORSTER, O.: Zur Theorie des Steinschen Algebren und Moduln,Math. Z. 97 (1967), 376–405.

    Google Scholar 

  12. KATO, T.:Perturbation theory for linear operators, Springer, Berlin-Heidelberg-New York, 1963.

    Google Scholar 

  13. KAUP, L.; KAUP, B.:Holomorphic functions of several variables. An introduction on the fundamental theory, Walter de Gruyter ed., Berlin, 1983.

    Google Scholar 

  14. LEVY, R.: Cohomological invariants for essentially commuting systems of operators (Russian),Funct. Analysis and Appl.,17 (1983), 79–80.

    Google Scholar 

  15. PUTINAR, M.: Some invariants for semi-Fredholm systems of essentially commuting operators,J. Operator Theory 8 (1982), 65–90.

    Google Scholar 

  16. PUTINAR, M.: Uniqueness of Taylor's functional calculus,Proc. Amer. Math. Soc. 89 (1983), 647–650.

    Google Scholar 

  17. SEGAL, G.: Fredholm complexes,Quart J. Math. Oxford Ser. 21 (1970), 385–402.

    Google Scholar 

  18. TAYLOR, J.L.: A joint spectrum of several commuting operators,J. Functional Analysis 6 (1970), 172–191.

    Google Scholar 

  19. TAYLOR, J.L.: Analytic functional calculus for several commuting operators,Acta Math. 125 (1970), 1–38.

    Google Scholar 

  20. TAYLOR, J.L.: Banach algebras and topology, in “Algebras in Analysis”, Academic Press, 1975, pp.118–186.

  21. VASILESCU, F.-H.: Stability of the index of a complex of Banach spaces,J. Operator Theory 1 (1979), 187–205.

    Google Scholar 

  22. VASILESCU, F.-H.:Analytic functional calculus and spectral decomposition, Ed. Academiei and D.Reidel Co., Bucharest and Dordrecht, 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Putinar, M. Base change and the Fredholm index. Integr equ oper theory 8, 674–692 (1985). https://doi.org/10.1007/BF01201709

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01201709

Keywords

Navigation