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Minor nitpick: I have nothing against a term "linear operator" (usually meaning a linear map from V to itself), but this term is used in the napkin precisely four times, all in the same chapter, and without a definition. Everywhere else these are just called "linear maps".
Another solution is to define this term somewhere, but it's easier to just avoid introducing new terminology.
This PR renames all four "linear operators" to "linear maps". In all four cases it's obvious from the context that they are from V to itself, so no information is lost.