terminology question!
in the statement: "Define an inner product on V = C[0,1] by....etc", what does the C[0,1] represent?
Thanks!

Question

zarkon · Answer

usually the set of continuous function on [0,0]

zarkon · Answer

[0,1]

anonymous · Answer

so the inner product would have a range between x=0 & x=1?

zarkon · Answer

usually some integral over [0,1]

anonymous · Answer

It doesn't matter how you define the inner product as long as it satisfies the inner product axioms.

anonymous · Answer

1) Conjugate symmetry
2) Linearity in the first argument
3) Positive definiteness

anonymous · Answer

ah didnt even notice what the integral was over, lol - dead on answers - thx!

zarkon · Answer

so your inner product is an integral?

anonymous · Answer

yeah, but i can do the rest of the linear algebra - just the terminology threw me off for a bit.  thanks again!