7 Sep
2012
7 Sep
'12
3:50 a.m.
OK --- here comes Fred sticking his neck out again. I claim Cl(L) = {sequences with sum absolutely convergent to zero} union {square-summable sequences with sum divergent, or only conditionally convergent}. The complement in H of Cl(L) comprises sequences with sum absolutely convergent to some nonzero real. WFL