Geodesic
On the localization of the spectrum for quasi-selfadjoint extensions of a Carleman operator
Mathematica Bohemica, Tome 137 (2012) no. 3, pp. 249-258

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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 $A$.
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 $A$.
DOI : 10.21136/MB.2012.142892
Classification : 45C05, 45P05, 47B25, 58C40
Keywords: defect indices; integral operator; quasi-selfadjoint extension; spectral theory 
Bahri, S. M. On the localization of the spectrum for quasi-selfadjoint extensions of a Carleman operator. Mathematica Bohemica, Tome 137 (2012) no. 3, pp. 249-258. doi: 10.21136/MB.2012.142892
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