Abstract
By applying the theory of linear positive operators in a Banach space we derive spectral properties of certain composition operators in the Banach spaceA ∞(Ω) of holomorphic functions over some domain Ω⊂ℂ. Examples of such operators are provided by the so called generalized transfer matrices of classical one-dimensional lattice systems.
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Communicated by H. Araki
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Mayer, D.H. Spectral properties of certain composition operators arising in statistical mechanics. Commun.Math. Phys. 68, 1–8 (1979). https://doi.org/10.1007/BF01562537
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DOI: https://doi.org/10.1007/BF01562537