MATHEMATICS

On infinite number of negative eigenvalues of the Friedrichs model

Yu. Kh. Èshkabilov

National University of Uzbekistan named after M. Ulugbek, Tashkent

Abstract: The discrete spectrum of a self-adjoint operator in the framework of the Friedrichs model with a positive symmetrical kernel is studied in this paper. Sufficient conditions for the existence of infinite number of negative eigenvalues in the framework of the Friedrichs model are described.

Keywords: Friedrichs model, spectra, essential spectrum, discrete spectrum.

UDC: 517.984.53

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