Which operators commute with infinite Hilbert operator? equivalently: What is the inverse of the infinite Hilbert operator?

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Muhammad Ali

For commutativity of Hilbert operators please follow : Article Commutativity theorems for normaloid Hilbert space operators

Article On Hilbert-Schmidt Infinity Tuples of Commutative Bounded Li...

For inverse of the infinite Hilbert operator please see:

https://math.stackexchange.com/questions/2803585/question-about-hilbert-schmidt-operator-and-its-inverse

http://dsp.ucsd.edu/~kreutz/PEI-05%20Support%20Files/Hilbert%20Space%20Concepts.pdf

Hadi Roopaei

I am so thankful.