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