On the peripheral spectrum of positive operators |
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Authors: | Vicent Caselles |
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Institution: | (1) Facultad de Matematicas, C/Dr. Moliner, 50, Burjasot (Valencia), Spain |
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Abstract: | 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. |
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