prove that, in a Banach space if converges then converges

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- June 1st 2010, 07:42 AMcizzziBanach space
prove that, in a Banach space if converges then converges

- June 1st 2010, 07:43 AMcizzziBanach space
Can you help me please?

- June 1st 2010, 08:02 AMcizzzi
prove that , in a Banach space if converges then converges.

- June 1st 2010, 08:11 AMFocus
- June 1st 2010, 12:00 PMcizzzi
thank you I try to solve but I do not know very well functional analysis :(

- June 1st 2010, 01:55 PMFocus
- June 4th 2010, 07:44 AMcizzzi
if X is complete and then sequence for is Cauchy because for k>m

as

therefore , exists in X.

is it true? - June 6th 2010, 01:22 PMFocus