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Posted: **Mon Apr 11, 2022 5:59 am**

: Question Let 6 Be An Inner Product Space On Ir Letill Be The Induced Norm Of Axe 16 4 Vx X O Show That 1 (20.87 KiB) Viewed 38 times

Question. Let (%, 6,-) be an inner product space on IR * letill be the induced norm, of AXE = 16,4), Vx € X. O show that ilxl) = sup ſex, y):ye X 8 441=1} for all x€X: @. Letx EX & let (Xn) be a sequence in X ST. 640,X>-||XI * ]] X 11 -> 1441 show that Xnx.