amd939
Mar31-08, 03:56 PM
Hi, I have a question on complex stone-weierstrass theorem.
the span of {exp(2Pi*inx) :n is integer} is uniformly dense in the space of continuous functions f on [0; 1] such that f(0) = f(1).
used the theorem,it looks like the span of exp(2Pi*inx) is uniformly dense in C[0,1].
but how to show it's uniformly dense in f(0)=f(1)?
thanks
the span of {exp(2Pi*inx) :n is integer} is uniformly dense in the space of continuous functions f on [0; 1] such that f(0) = f(1).
used the theorem,it looks like the span of exp(2Pi*inx) is uniformly dense in C[0,1].
but how to show it's uniformly dense in f(0)=f(1)?
thanks