Question: 5. Consider the norm ( x]| = max{|x,|, ....[x,|) for x = (x1, ...,m.) ER. For this normed vector space (R, | - [), find

5. Consider the norm ( x]| = max{|x,|, ....[x,|) for x

5. Consider the norm ( x]| = max{|x,|, ....[x,|) for x = (x1, ...,m.) ER". For this normed vector space (R", | - [), find its dual space (R" )" including its norm. 6. Let E be infinite dimensional normed vector space. Show that its dual space E' is also infinite dimensional

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