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Browsing by Subject "dissipative operators"

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    Item type:Article, Access status: Open Access ,
    Extensions of dissipative operators with closable imaginary part
    (Wydawnictwa AGH, 2021) Fischbacher, Christoph
    Given a dissipative operator $A$ on a complex Hilbert space $\mathcal{H}$ such that the quadratic form $f \mapsto \text{Im}\langle f, Af \rangle$ is closable, we give a necessary and sufficient condition for an extension of $A$ to still be dissipative. As applications, we describe all maximally accretive extensions of strictly positive symmetric operators and all maximally dissipative extensions of a highly singular first-order operator on the interval.