Applications of the Birkhoff–Hopf theorem to the spectral theory of positive linear operators

@inproceedings{Eveson1995ApplicationsOT,
  title={Applications of the Birkhoff–Hopf theorem to the spectral theory of positive linear operators},
  author={S. P. Eveson and Roger D. Nussbaum},
  year={1995}
}

• S. P. Eveson, Roger D. Nussbaum
• Published 1995
• DOI:10.1017/S0305004100073321

This paper may be regarded as a sequel to our earlier paper [ 19 ], where we give an elementary and self-contained proof of a very general form of the Hopf theorem on order-preserving linear operators in partially ordered vector spaces (reproduced here as Theorem 1·1). Versions of this theorem and related ideas have been used by various authors to study both linear and nonlinear integral equations (Thompson [ 41 ], Bushell [ 9 , 11 ], Potter [ 38 , 39 ], Eveson [ 16 , 17 ], Bushell and… CONTINUE READING

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