Geodesic
A~new proof and generalization of the Bogolyubov--Ruelle theorem
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 389-402

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A new proof of the Bogolyubov–Ruelte theorem based on the general properties of a dual pair of Banach spaces $\langle'E_\xi, E_\xi\rangle$ is proposed. The new proof makes it possible to Lake into account readily the case of nonempty boundary conditions and extend the assertion of the theorem to a domain which includes the standard disk of analyticity with respect to the activity. 
@article{TMF_1982_51_3_a9,
     author = {V. A. Zagrebnov},
     title = {A~new proof and generalization of the {Bogolyubov--Ruelle} theorem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {389--402},
     publisher = {mathdoc},
     volume = {51},
     number = {3},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a9/}
}
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V. A. Zagrebnov. A~new proof and generalization of the Bogolyubov--Ruelle theorem. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 389-402. http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a9/