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Keywords:
defect indices; integral operator; quasi-selfadjoint extension; spectral theory
defect indices; integral operator; quasi-selfadjoint extension; spectral theory
Summary:
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 $A$.
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