 Indeed, formula_247 is even sequentially dense in every formula_42.All of the canonical injections formula_249 (formula_250) are continuous and the range of this injection is dense in the codomain if and only if formula_251 (here formula_252 has its usual norm topology).Suppose that "X" is one of the spaces formula_42 (formula_254) or formula_255 (formula_250) or formula_252 (formula_258).