Hence we would expect the functions fj to behave similarly.
Compact multipliers, as one would expect, are those elements of A which......
One might hope that this method would work at least for sufficiently regular maps; however,......
It would clearly have been sufficient to assume......
If it were true that......, the same argument would apply to f and would show......
However, if B were omitted in (1), the case n=0 would imply Nf=1, an undesirable restriction.