Geodesic
Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 3, pp. 544-554

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We consider a model operator acting in a subspace of a Fock space and obtain a symmetrized analogue of the Faddeev equation. For the operator considered, we describe the position and the structure of its essential spectrum.
Keywords: creation and annihilation operators, essential spectrum, positive operator, compact operator. 
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     author = {G. R. Yodgorov and M. I. Muminov},
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G. R. Yodgorov; M. I. Muminov. Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 3, pp. 544-554. http://geodesic.mathdoc.fr/item/TMF_2005_144_3_a6/