A Note on the Fuglede-Putnam Theorem
We prove the following generalization of the Fuglede–Puntam theorem. Let 𝑁 be an unbounded normal operator in the Hilbert space, and let 𝐴 be an unbounded self-adjoint operator such that $D(N)\subseteq D(A)$. Then, $AN\subseteq N^∗A\Rightarrow AN^∗\subseteq NA$.
Volume 131, 2021
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode