Re: L1 functions
- From: Nik <nikita2.evseev@xxxxxxxxx>
- Date: Sun, 9 Mar 2008 05:23:13 -0700 (PDT)
On 9 мар, 17:53, "Joubert" <luckyguy675...@xxxxxxxxxxx> wrote:
Exhibite a function which is in L1 but such that lim x-> +inf f(x) is not
zero.
Do you mean L1(R)? If f is i L1(R) then ||f,L1(R)|| = integral{|
f(x)|} < 0 => f(x) - > 0 when |x|->inf . If f(x) is not 0 when x ->
inf then integral{|f(x)|} doesn't exist!
.
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