Functional Analysis: When is a Normed Linear Space Complete?

We prove a characterization of completeness of a Normed Linear Space. We call this an abstract Weirstrass M-test. An NLS X is complete iff the following holds: If sum_n norm(x_n ) is convergent than sum_n x_n is convergent. This a Pongal release! Music by Bensound.com/free-music-for-videos License code: 9DWADY9HK0NXKMMZ