Skip to main content
SpringerLink
Log in

On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Benveniste, J.E., Projective solution of the Dirichlet problem for boundaries with angular points. J. SIAM. Num. Anal. 4, 336–348 (1967).

    Google Scholar 

  2. Browder, F.E., Approximation-solvability of nonlinear functional equations in normed linear spaces. Arch. Rational Mech. Anal. 26, 33–42 (1967).

    Google Scholar 

  3. Hildebrandt, S., & E. Wienholtz, Constructive proofs of representation theorems in separable Hilbert spaces. Comm. Pure and Appl. Math. 17, 369–373 (1964).

    Google Scholar 

  4. Karlin, S., Bases in Banach spaces. Duke Math. J. 15, 971–985 (1948).

    Google Scholar 

  5. Murray, F.J., The solution of linear operator equations. J. Math, and Phys. 22, 148–157 (1943).

    Google Scholar 

  6. Petryshyn, W.V., Direct and iterative methods for the solution of linear operator equations in Hilbert space. Trans. Amer. Math. Soc. 105, 136–175 (1962).

    Google Scholar 

  7. Petryshyn, W.V., On nonlinear P-compact operators in Banach space with applications to constructive fixed-point theory. J. Math. Anal. and Appl. 15, 228–242 (1966).

    Google Scholar 

  8. Petryshyn, W.V., Further remarks on nonlinear P-compact operators in Banach spaces. J. Math. Anal. and Appl. 16, 243–253 (1966).

    Google Scholar 

  9. Petryshyn, W.V., Projection methods in nonlinear numerical functional analysis. J. Math. Mech. 17, 353–372 (1967).

    Google Scholar 

  10. Petryshyn, W.V., Remarks on the approximation-solvability of nonlinear functional equations. Arch. Rational Mech. Anal. 26, 43–49 (1967).

    Google Scholar 

  11. Petryshyn, W.V., On the approximation-solvability of nonlinear equations. Math. Annalen 177, 156–164 (1968).

    Google Scholar 

  12. Petryshyn, W.V., & T.S. Tucker, On the functional Equations involving nonlinear generalized P-compact operators. Trans. Amer. Math. Soc. (to appear).

  13. Polsky, N.I., On the convergence of certain approximate methods in analysis. Ukrainian Math. J. 7, 56–70 (1955).

    Google Scholar 

  14. Riesz, F., & B. Sz.-Nagy, Functional Analysis. New York: Frederick Ungar Publ. Co. 1955.

    Google Scholar 

  15. Vainikko, G., About convergence of Galerkin's method. Tartu Riikl. Ul. Toimetised, Vih. 177, 147–153 (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Rutgers University, New Brunswick, New Jersey

    W. V. Petryshyn

Authors
  1. W. V. Petryshyn
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by L. Cesari

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petryshyn, W.V. On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators. Arch. Rational Mech. Anal. 30, 270–284 (1968). https://doi.org/10.1007/BF00281535

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00281535

Keywords

Search

Navigation