Hi! (Merry Christmas and happy holidays!! I hope you guys have a good time)
Exercise
Proof: (F, ||-||_H) is a Banach space, where
( fourier transform)
and
Definition
If the norm on F is complete (that is, any Cauchy sequence in F is convergent), then F is called a Banach space
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According to the Cauchy sequence/norm I'm at a loss what to do.
Thanks for all your time
Best regards,
Rapha.