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

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)707-714
Number of pages8
JournalMathematica Slovaca
Volume66
Issue number3
DOIs
Publication statusPublished - Jun 1 2016

Fingerprint

Spectral Radius
Compact Operator
Linear Operator
Orbit
Non-negative
Partial ordering
Eigenvector
Cone
Banach space
Eigenvalue
Operator

Keywords

  • compact linear operator
  • cone
  • eigenvalue
  • local spectral radius
  • orbit

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The local spectral radius of a nonnegative orbit of compact linear operators. / Pituk, M.

In: Mathematica Slovaca, Vol. 66, No. 3, 01.06.2016, p. 707-714.

Research output: Contribution to journalArticle

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