Invariant sublattices

Heydar Radjavi; Vladimir G. Troitsky

doi:10.1215/ijm/1248355343

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Home > Journals > Illinois J. Math. > Volume 52 > Issue 2 > Article

Summer 2008 Invariant sublattices

Heydar Radjavi, Vladimir G. Troitsky

Illinois J. Math. 52(2): 437-462 (Summer 2008). DOI: 10.1215/ijm/1248355343

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Abstract

This paper is concerned with the problem of existence of invariant sublattices for a positive matrix or a positive operator on $L_p(\mu)$. Common invariant sublattices for certain semigroups of positive operators are constructed. The paper also provides extensions of Perron-Frobenius theorem.

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Heydar Radjavi. Vladimir G. Troitsky. "Invariant sublattices." Illinois J. Math. 52 (2) 437 - 462, Summer 2008. https://doi.org/10.1215/ijm/1248355343