A Normed Linear space is Banach space iff every absolutely summable series is summable|
A Normed Linear space is Banach space iff every absolutely summable series is summable| Functional Analysis for M.Sc
About this video: As we discussed subspace of L infinity in the previous video where we see absolutely summable series need not be summable. so what condition we impose on Normed Linear Space so that every absolutely summable series is summable. This theorem give assurance the subspace need to be Banach space.
Enjoy the proof of the theorem.
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