高考问答形容文化遗产的成语:谁会泛函分析呀，急救阿，最后一个小时了555
来源：百度文库 编辑：高考问答 时间：2024/04/29 07:08:46
同学在英国等着交作业呢，交不上就挂了，大家帮帮忙吧，小女子谢谢各位了，磕头状！
1）Find a norm on and a norm on C[0,1] which are no generated by an inner product( and show that indeed this is the case)
2）
Suppose that is analytic and , R>0 are such that . Take 0<r<R and denote by the circle of radius r with centre z. Show that f(z) is equal to the average of the values f(s), where , i.e.,
3）Denote (the unit disk in C), Denote the space of bounded analytic functions on . Find three norms on , of which two should be generated by inner products, and one should not be generated by an inner product. For each of your three norms, find a function such that =1
第一个是举个例子
第2个是证明题
第3个偶就看不懂了，
原题就是这样，没缺条件
1）Find a norm on and a norm on C[0,1] which are no generated by an inner product( and show that indeed this is the case)
2）
Suppose that is analytic and , R>0 are such that . Take 0<r<R and denote by the circle of radius r with centre z. Show that f(z) is equal to the average of the values f(s), where , i.e.,
3）Denote (the unit disk in C), Denote the space of bounded analytic functions on . Find three norms on , of which two should be generated by inner products, and one should not be generated by an inner product. For each of your three norms, find a function such that =1
第一个是举个例子
第2个是证明题
第3个偶就看不懂了，
原题就是这样，没缺条件