On complex perturbations of infinite band Schrodinger operators
classification
🧮 math.SP
math-phmath.CVmath.MP
keywords
bandcomplexinfiniteoperatoroperatorsschrodingerspectrumconvergence
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We study a complex perturbation of a self-adjoint infinite band Schrodinger operator (defined in the form sense), and obtain the Lieb--Thirring type inequalities for the rate of convergence of the discrete spectrum of the perturbed operator to the joint essential spectrum of both operators.
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