貓朋
Lv 5
貓朋 asked in 科學及數學數學 · 1 decade ago

Equivalent Norm

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.

Update:

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

and

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

2 Answers

Rating
  • Andrew
    Lv 6
    1 decade ago
    Favorite Answer

    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/7008...

    Source(s): 從不抄襲。
  • 1 decade ago

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

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