Open AccessOn the Extension of a Certain Class of Carleman Operators
Author(s) -
S. M. Bahri
Publication year - 2007
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1310
Subject(s) - extension (predicate logic) , class (philosophy) , mathematics , algebra over a field , pure mathematics , computer science , calculus (dental) , medicine , artificial intelligence , programming language , dentistry
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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