Talk:Examples of vector spaces

in section "infinite coordinate space" there is a slight confusion about "unbounded sequences" which seem here to refer to infinite sequences while it usually means that the image of the sequence is unbounded (i.e. the set of all elements { x_i ; i\in\N } is unbound in F (whatever its topology may be), e.g. for C that (lim)sup|x_i|=∞). — MFH: Talk 19:27, 27 May 2005 (UTC)

Yes, unbounded is probably not the right word. I not sure what the proper language is for distinguishing between

1. a finite sequence
2. an infinite sequence with only finitely many nonzero terms
3. an infinite sequence with infinitely many nonzero terms.

I suppose one could gloss over the distinction between the first two items (which strictly speaking have different function domains) and call both finite sequences although that doesn't quite seem right to me. -- Fropuff 20:14, 2005 May 27 (UTC)