Geodesic
Study of the essential spectrum of a matrix operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 1, pp. 62-77 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a matrix operator $H$ corresponding to a system with a nonconserved finite number of particles on a lattice. We describe the structure of the essential spectrum of the operator $H$ and prove that the essential spectrum is a union of at most four intervals.
Keywords: matrix operator, system with a nonconserved finite number of particles, Fock space, generalized Friedrichs model, essential spectrum, eigenvalue. 
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T. H. Rasulov. Study of the essential spectrum of a matrix operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 1, pp. 62-77. http://geodesic.mathdoc.fr/item/TMF_2010_164_1_a3/

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