graphon shift operators are self-adjoint

[[concept]]

Theorem

Let $W$ be a graphon and $T_W$ its graphon shift operator. Then $T_W$ is self-adjoint.

Proof

graphons are symmetric. So $⟨T_{W}x,y⟩=⟨x,T_{W}y⟩$

Review

dsg

graphon shift operators are {self-adjoint} because graphons are {symmetric functions}

Mentions

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