作者mqazz1 (无法显示)
看板Math
标题[线代] linear operator
时间Sat May 14 18:04:59 2011
for each f属於C[0,1], define L(f) = F,
x
where F(x) = ∫ f(t)dt 0 <= x <= 1
0
show that L is a linear operator on C[0, 1] and then
find L(e^x) and L(x^2)
请问这个题目应该怎麽解呢?
谢谢!!
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※ 编辑: mqazz1 来自: 61.228.28.233 (05/14 18:05)
1F：→ ricestone :就直接把线性算子那几个定义套进去就好了 05/14 18:07
2F：→ ricestone :L(a*f)=积分a*f(t)dt等等诸如此类的 05/14 18:08