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Название: Spectral Properties of Kirkwood-Saisburg and Kirkwood-Ruelle Operators
Автор: Zagrebnov V.A.
For stable interactions these operators are shown to have, besides the point spectrum, a residual one. We establish also that the residual spectrum may disappear if a superstable (singular) interaction between particles is switched on. In this case the bounded Kirkwood-Salsburg operator is proved to have a zero Fredholm radius.