Posted by J. Holmer on September 17, 2007, 12:20 pm, in reply to "hw3 3(b)" || (x_1,x_2) || = (||x_1||^2 + ||x_2|^2)^(1/2) (or one could use the p-versions, as in Problem 2, for any p, 1<= p<= \infty.
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The metric on X*X is the same as the one defined in Problem 2. If X is a normed vector space, then X*X becomes a normed vector space with norm
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