On the peripheral spectrum of positive operators
- Cite this article as:
- Caselles, V. Israel J. Math. (1987) 58: 144. doi:10.1007/BF02785673
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We prove that ifE is a Banach lattice andS, T ∈ ℒ (E) are such that 0≦s≦T,r(s)=r(T) andr(T) is a Riesz point ofσ(T) thenr(S) is a Riesz point ofσ(S). We prove also some results on compact positive perturbations of positive irreducible operators and lattice homomorphisms.