prove that, in a Banach space if converges then converges

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- Jun 1st 2010, 06:42 AMcizzziBanach space
prove that, in a Banach space if converges then converges

- Jun 1st 2010, 06:43 AMcizzziBanach space
Can you help me please?

- Jun 1st 2010, 07:02 AMcizzzi
prove that , in a Banach space if converges then converges.

- Jun 1st 2010, 07:11 AMFocus
- Jun 1st 2010, 11:00 AMcizzzi
thank you I try to solve but I do not know very well functional analysis :(

- Jun 1st 2010, 12:55 PMFocus
- Jun 4th 2010, 06:44 AMcizzzi
if X is complete and then sequence for is Cauchy because for k>m

as

therefore , exists in X.

is it true? - Jun 6th 2010, 12:22 PMFocus