Spectral properties of the Kirkwood-Salsburg operator

H. Moraal

Physica A: Statistical Mechanics and its Applications, 1977, vol. 87, issue 2, 331-343

Abstract: A mathematically precise definition of the “infinite-volume” Kirkwood-Salsburg operator as a bounded linear operator in a Banach space is given. It is shown that this operator has a bounded inverse for a bounded, stable and regular pair potential. These facts are exploited to establish the connection between the Kirkwood-Salsburg and the Mayer-Montroll equations and to give a classification of the spectra and resolvents of the Kirkwood-Salsburg operator and of its inverse. The theorems proved in this article constitute a framework for the derivation of any more precise results for special potentials.

Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:87:y:1977:i:2:p:331-343

DOI: 10.1016/0378-4371(77)90020-6

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