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Browsing by Subject "divergence form"

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    Item type:Article, Access status: Open Access ,
    Operators in divergence form and their Friedrichs and Kreĭn extensions
    (2011) Arlinskij, Ûrij Moiseevič; Kovalev, Ûrij
    For a densely defined nonnegative symmetric operator $\mathcal{A} = L_2^*L_1$ in a Hilbert space, constructed from a pair $L_1 \subset L_2$ of closed operators, we give expressions for the Friedrichs and Kreĭn nonnegative selfadjoint extensions. Some conditions for the equality $(L_2^* L_1)^* = L_1^* L_2$ are obtained. Applications to 1D nonnegative Hamiltonians, corresponding to point interactions, are given