On the definition of the cone spectral radius
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- by Gustaf Gripenberg PDF
- Proc. Amer. Math. Soc. 143 (2015), 1617-1625 Request permission
Abstract:
For functions homogeneous of degree $1$ and mapping a cone into itself two reasonable definitions of the cone spectral radius have been given. Although they have been shown to be equal in many cases, this note gives an example showing that the two definitions may differ for continuous, homogeneous of degree one functions which are also order-preserving in the partial ordering induced by the cone.References
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Additional Information
- Gustaf Gripenberg
- Affiliation: Department of Mathematics and Systems Analysis, Aalto University, Värmemansgränden 2, 02150 Espoo, Finland
- Email: gustaf.gripenberg@aalto.fi
- Received by editor(s): May 24, 2013
- Received by editor(s) in revised form: August 12, 2013
- Published electronically: November 24, 2014
- Communicated by: Thomas Schlumprecht
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 1617-1625
- MSC (2010): Primary 47H07
- DOI: https://doi.org/10.1090/S0002-9939-2014-12375-6
- MathSciNet review: 3314074