Hello, Sorry if the question sounds silly, but can a continuous matrix be seen as a differential operator? First of all, let me state that I have no idea what a continuous matrix would formally mean, but I would suppose there is such an abstract notion, somewhere? Secondly, let me tell you where I'm coming from: I'm reading about dynamic processes and it seems they can sometimes be described by the notion of a "generator". For dynamic processes with a finite state space, the generator is a (normal) matrix (e.g. discrete space Markov processes). For dynamic processes with a continuous state space (e.g. Hamiltonian dynamics), the generator is a differential operator. My above question follows naturally from this observation.