S. M. Bahri, LMPA, Department of Mathematics, Abdelhamid Ibn Badis University of Mostaganem, PB 227, Mostaganem, 27000, Algeria, e-mail: email@example.com; firstname.lastname@example.org
Abstract: In the present work, using a formula describing all scalar spectral functions of a Carleman operator $A$ of defect indices $( 1,1) $ in the Hilbert space $L^2( X,\mu) $ that we obtained in a previous paper, we derive certain results concerning the localization of the spectrum of quasi-selfadjoint extensions of the operator $A$.
Keywords: defect indices, integral operator, quasi-selfadjoint extension, spectral theory
Classification (MSC 2010): 45P05, 47B25, 58C40
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