- #1
azdang
- 84
- 0
Let M be a subspace of l^infinity consisting of all sequences x = (x_j) with at most finitely many nonzero terms. Find a Cauchy sequence in M which does not converge in M, so that M is not complete.
Does anyone have any ideas what to use for a Cauchy sequence that does not converge in M? I've been trying to think of something, but I can't come up with anything. Thanks.
Does anyone have any ideas what to use for a Cauchy sequence that does not converge in M? I've been trying to think of something, but I can't come up with anything. Thanks.