Abstract
For two classes of non-self-adjoint operators, close to normal ones, one establishes a formula for the asymptotic behavior of the eigenvalues situated in a fixed angle of the complex plane. One considers elliptic pseudodifferential operators, acting in the sections of a vector bundle over a manifold without boundary, the operators of elliptic boundary-value problems for pseudodifferential operators. The closeness of the operator to a normal one is defined by the smallness of the commutator of the operator and of its adjoint.
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Translated from Problemy Matematicheskogo Analiza, No. 10, pp. 180–195, 1986.
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Rozenblyum, G.V. Angular asymptotics of the spectra of operators, close to normal ones. J Math Sci 45, 1250–1261 (1989). https://doi.org/10.1007/BF01096157
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DOI: https://doi.org/10.1007/BF01096157