This article is cited in 2 papers

On the discrete spectrum of partial integral operators

Yu. Kh. Eshkabilov

National University of Uzbekistan named after M. Ulugbek, Faculty of Mathematics and Mechanics, Tashkent, Uzbekistan

Abstract: We prove a theorem on the discrete spectrum of a partial integral selfadjoint operator with a continuous kernel.

Key words: compact integral operator, partial integral operator, spectrum, essential spectrum, discrete spectrum.

UDC: 517.984.53

Received: 28.12.2011

 English version: Siberian Advances in Mathematics, 2013, 23:4, 227–233

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