4 papers
math.FA2026
Domain Characterizations of Strong Commutativity\break of Unbounded Self-Adjoint Operators
Konrad Schmüdgen
Let and be unbounded self-adjoint operators on a Hilbert space. Suppose that there exists a dense linear subspace such that for $x \i…
math.FA2026
Antilinar Normal Operators on Hilbert Space
Konrad Schmüdgen
An operator on a complex Hilbert space $\Hh$ is called antilinear if and $A(λx)=\ovλ Ax$ for $x,y\in \cD(A)$ and $λ\in \dC$. We investigate some classes of de…
math.FA2025
On -Symmetric and -Self-adjoint Unbounded Operators on Hilbert Space
Yury Arlinskii, Konrad Schmüdgen
Let be a conjugation on a Hilbert space . A densely defined linear operator on is called -symmetric if and -self-adjoint…
math.FA2025
-self-adjoint contractive extensions of -symmetric non-densely defined contractions
Yury Arlinskii, Konrad Schmüdgen
Given a conjugation (involution) on a Hilbert space, -self-adjoint contractive extensions of a non-densely defined -symmetric contraction are studied and parameterization…