Now use twenty minutes to explain why we consider Hilbert Schmidt operator on Hilbert probability space.
We consider an operator where is a Hilbert space with probability measure . Then when is Hilbert Schmidt, let’s denote where , then we have
Now use twenty minutes to explain why we consider Hilbert Schmidt operator on Hilbert probability space.
We consider an operator where is a Hilbert space with probability measure . Then when is Hilbert Schmidt, let’s denote where , then we have