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Hi

1) one could define that the vector space structure is given under
termwise addition and multiplication

2) In the definition, 'exists' should be replaced by '<\infty' as the sum can
exist but be equal to infinity.

3) One should avoid starting sentences with mathematical fomrulae.
Therefore, instead of 'l^p is ..' one could write something like
'For all $p$, l^p ..'

4) the 'bounded' link is wrong

5) You could add a link to the entry on the complex conjugate

http://planetmath.org/encyclopedia/ComplexConjugate.html

like '.. where \overline{a} is the complex conjugate'.

Parting words from the person who closed the correction: 
I don't agree with (2) - as far as I'm concerned, saying a sum exists means it doesn't diverge to infinity. But I've changed 'exists' to 'converges' anyway, to remove any possible ambiguity. -- Hi 1) one could define that the vector space structure is
Status: Accepted
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