In the space 12, equipped with the standard norm 1113 ||*||2:=x2/2 we define additional two...

 

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In the space 12, equipped with the standard norm 1113 ||*||2₂:=x2²/2 Σ we define additional two norms. ||||₁ : k=1 2 x7/ ||2||16:=x²-1 k=1 + 2 = (Tk) h=1 € 1². co WI 1 DE C + Σ2²/2k² k=1 Show that the norms || ||a and || || are equivalent to ||- ||2. I ■ 1 In the space 12, equipped with the standard norm 1113 ||*||2₂:=x2²/2 Σ we define additional two norms. ||||₁ : k=1 2 x7/ ||2||16:=x²-1 k=1 + 2 = (Tk) h=1 € 1². co WI 1 DE C + Σ2²/2k² k=1 Show that the norms || ||a and || || are equivalent to ||- ||2. I ■ 1

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To show that the norms and are equivalent to the standard norm 2 in mathbbR12 we need to show that t... View the full answer