Geodesic
A~description of the location and structure of the essential spectrum of a~model operator in a~subspace of a~Fock space
Sbornik. Mathematics, Tome 205 (2014) no. 12, pp. 1761-1774

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We consider a certain model operator acting in a subspace of a fermionic Fock space. We obtain an analogue of Faddeev's equation. We describe the location of the essential spectrum of the operator under consideration and show that the essential spectrum consists of the union of at most four segments. Bibliography: 19 titles.
Keywords: Hamiltonian with a nonconserved bounded number of particles, creation–annihilation operators, essential spectrum, positive operator, Faddeev's equation, compact operator. 
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     author = {G. R. Yodgorov and F. Ismail and Z. I. Muminov},
     title = {A~description of the location and structure of the essential spectrum of a~model operator in a~subspace of {a~Fock} space},
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G. R. Yodgorov; F. Ismail; Z. I. Muminov. A~description of the location and structure of the essential spectrum of a~model operator in a~subspace of a~Fock space. Sbornik. Mathematics, Tome 205 (2014) no. 12, pp. 1761-1774. http://geodesic.mathdoc.fr/item/SM_2014_205_12_a4/