Maximally dissipative and self-adjoint extensions of $K$-invariant operators

Christoph Fischbacher, Bart Rosenzweig, Jonathan Stanfill

We introduce the notion of $K$-invariant operators, $S$, (in a Hilbert space) with respect to a bounded and boundedly invertible operator $K$ defined via $K^{\ast }SK=S$. Conditions such…