Ruckle, William2007-08-162007-08-161983https://hdl.handle.net/11299/4796Let S be a linear space of real sequences written in functional notation s=(s(j))=(s(1), s(2),...). There is a natural duality between S and the space of sequences which are eventually 0 given by the equation <s,t> = j s(j) t(j) s S, t .