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Correct and selfadjoint problems for quadratic operators. (English) Zbl 1233.47010
In an earlier paper [Abstr. Appl. Anal. 2005, No. 7, 767–790 (2005; Zbl 1104.47026)], the authors gave a construction of a class of selfadjoint operators with bounded inverses obtained as perturbations of a given selfadjoint operator \(A\). Now they consider the case where the unperturbed operator is \(A^2\) and study some special properties of their construction for this operator. Examples of integro-differential operators obtained this way are given.

MSC:
47A55 Perturbation theory of linear operators
47B25 Linear symmetric and selfadjoint operators (unbounded)
47G20 Integro-differential operators
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