Question: 1. (a) Let X be a normed space andf a linear functional on X. Prove that f is bounded if and only if Nul(f)

1. (a) Let X be a normed space andf a linear functional

1. (a) Let X be a normed space andf a linear functional on X. Prove that f is bounded if and only if Nul(f) is closed. (b) Let Y be an infinite-dimensional normed space. Show that Y* Y'.

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