The four operators mentioned in the original posting, =
, ()
, ->
and []
, must indeed be implemented as non-static member functions (by respectively C++98 §13.5.3/1, §13.5.4/1, §13.5.5/1 and §13.5.6/1).
Bjarne Stroustrup's rationale was, as I recall from earlier debates on the subject, to retain some sanity in the language, i.e. having at least some things you could rely on no matter how much Someone Else has screwed up by defining non-member operators for existing classes.
I'm not sure I completely agree that the restriction really helps with that, but.
EDIT: I consulted Bjarne Stroustrup about this (he's always helpful) but it appears that the apparent inconsistencies of the rules are no more than a case of frozen historical accident. He notes that "It looks worse now than it was then because our rules for lvalues and references have changed since the overloading rules were formulated. I tried to look into this issue again a couple of years ago, but ran out of time before producing a complete proposal."
Cheers & hth.,
PS: "The Design and Evolution of C++" book is great for this kind of question, but unfortunately I don't have it.