Michal Wojtylak
Published 2011-02-24, updated 2011-06-10Version 2
A theorem that is of aid in computing the domain of the adjoint operator is provided. It may serve e.g. as a criterion for selfadjointness of a symmetric operator, for normality of a formally normal operator or for $H$--selfadjointness of an $H$--symmetric operator. Differential operators and operators given by an infinite matrix are considered as examples.
Properties of differential operators with vanishing coefficients
Asymptotics of Eigenvalues for the Differential Operators of Fractional Order
On selfadjoint extensions of symmetric operator with exit from space
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