[分析] 一個Arela-Ascoli的應用

看板Math作者 (艾若帆)時間10年前 (2015/10/02 16:26), 編輯推噓1(103)
留言4則, 2人參與, 最新討論串1/1
Let B be contained in C([0,1],R), be closed bounded, and equicontinuous.                  1 Let I : B→R definded by I(f) = ∫f(x)dx.                  0 Show that there is g in B at which the vaulve of I is maximized. 這是我在marsden中看到的題目,但是花了一段時間還是沒有想出來... -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 140.112.7.214 ※ 文章網址: https://www.ptt.cc/bbs/Math/M.1443774403.A.4A2.html

10/02 17:12, , 1F
給你hint 如果你很急再站內我
10/02 17:12, 1F

10/02 17:13, , 2F
Hint:證 B compact(用到A-Z), I conti.(用到B bdd)
10/02 17:13, 2F

10/02 17:14, , 3F
之後連續函數作用在compact set上...blabla
10/02 17:14, 3F

10/04 09:44, , 4F
謝謝你!!
10/04 09:44, 4F
文章代碼(AID): #1M3Z_3IY (Math)