Equivalent Norm

👨🏻‍🏫 學術台數學

貓朋

2008-03-16 11:26 am

Show that any two norms are equivalent in a finite dimensional real vector space V. i.e. There exists C1 and C2 such that
||v||1 ≦ C2 ||v||2
and
||v||2 ≦ C1 ||v||1
for all v in V.

更新1:

||v||1 less than or equal to C2 ||v||2 and ||v||2 less than or equal to C1 ||v||1

回答 (2)

Andrew

2008-03-17 2:08 am

✔ 最佳答案

問題：Show that any two norms are equivalent in a finite dimensional real vector space V
答案：

圖片參考：http://i187.photobucket.com/albums/x22/cshung/7008031600401.jpg

參考: 從不抄襲。

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myisland8132

2008-03-17 5:16 am

If a man can do this question, then the possibility that he dosen't know English is very low

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