Geodesic
Study of the~essential spectrum of a~matrix operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 1, pp. 62-77

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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. 
@article{TMF_2010_164_1_a3,
     author = {T. H. Rasulov},
     title = {Study of the~essential spectrum of a~matrix operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {62--77},
     publisher = {mathdoc},
     volume = {164},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_164_1_a3/}
}
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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/