G. R. Yodgorov, M. I. Muminov, “Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum”, TMF, 2005, Volume 144, Number 3,Pages <nobr>544

This article is cited in 10 papers

Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum

G. R. Yodgorov^a, M. I. Muminov^b

^a Uzbekistan Academy of Sciences, Samarkand Branch
^b A. Navoi Samarkand State University

Abstract: 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.

Received: 25.01.2005
Revised: 09.04.2005

DOI: 10.4213/tmf1875