Acta Mathematica Hungarica

, Volume 63, Issue 4, pp 305–312 | Cite as

The numerical range of nonlinear Banach space operators

  • R. U. Verma
Article
Received:

Keywords

Space Operator Numerical Range 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    F. E. Browder, Remarks on nonlinear functional equations,Proc. Nat. Acad. Sci. U.S.A.,51 (1964), 985–989.Google Scholar
  2. [2]
    C. L. Dolph and G. J. Minty, On nonlinear equations of Hammerstein type,Proceeding Seminar Nonlinear Integral Equations, Univ. of Wisconsin Press (1963).Google Scholar
  3. [3]
    G. Lumer, Semi-inner-product spaces,Trans. Amer. Math. Soc.,100 (1961), 29–43.Google Scholar
  4. [4]
    R. H. Martin, Jr.,Nonlinear Operators and Differential Equations in Banach Spaces, John Wiley and Sons (New York, 1976).Google Scholar
  5. [5]
    G. J. Minty, On a “monotonicity” method for the solution of non-linear equations in Banach spaces,Proc. Nat. Acad. Sci. U.S.A.,50 (1963), 1038–1041.Google Scholar
  6. [6]
    R. U. Verma, Multiparameter spectral theory of a separating operator system,Applied Math. Lett.,2 (1989), 391–394.Google Scholar
  7. [7]
    J. Williams, Spectra of products and numerical ranges,J. Math. Anal. Appl.,17 (1967), 781–787.Google Scholar
  8. [8]
    E. H. Zarantonello, The closure of the numerical range contains the spectrum,Pacific J. Math.,22 (1967), 575–595.Google Scholar

Copyright information

© Akadémiai Kiadó 1994

Authors and Affiliations

  • R. U. Verma
    • 1
  1. 1.Department of MathematicsUniversity of Central FloridaOrlandoUSA

Personalised recommendations