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Licensed Unlicensed Requires Authentication Published by De Gruyter August 26, 2016

The local spectral radius of a nonnegative orbit of compact linear operators

  • Mihály Pituk EMAIL logo
From the journal Mathematica Slovaca

Abstract

We consider orbits of compact linear operators in a real Banach space which are nonnegative with respect to the partial ordering induced by a given cone. The main result shows that under a mild additional assumption the local spectral radius of a nonnegative orbit is an eigenvalue of the operator with a positive eigenvector.


This work was supported by the Hungarian National Foundation for Scientific Research (OTKA) Grant No. K. 101217.



(Communicated by Werner Timmermann)


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Received: 2013-8-8
Accepted: 2014-1-17
Published Online: 2016-8-26
Published in Print: 2016-6-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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