12 citations · 22 across the 9 of their papers we have counts for
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Extensions of dissipative operators with closable imaginary part
Christoph Fischbacher
Given a dissipative operator on a complex Hilbert space such that the quadratic form $f\mapsto \mbox{Im}\langle f,Af\rangle$ is closable, we give a necessary and…
The Closed Extensions of a Closed Operator
Christoph Fischbacher
Given a densely defined and closed operator acting on a complex Hilbert space , we establish a one-to-one correspondence between its closed extensions and subspace…
A Birman-Krein-Vishik-Grubb theory for sectorial operators
Christoph Fischbacher
We consider densely defined sectorial operators that can be written in the form with , where both and…
The Non-Proper Dissipative Extensions of a Dual Pair
Christoph Fischbacher
We consider dissipative operators of the form , where both and are assumed to be symmetric but neither of them needs to be (essentially) selfadjoint. Afte…
The Proper Dissipative Extensions of a Dual Pair
Christoph Fischbacher, Sergey Naboko, Ian Wood
Let and be dissipative operators on a Hilbert space and let form a dual pair, i.e. , resp.\ $\wide…