Let and be a functional over ( is the number i derivative of p) Show that is a basis of a dual space What I first should do is prove that are linearly independent. How should I do it? Any ideas?
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Originally Posted by wicked Let and be a functional over ( is the number i derivative of p) Show that is a basis of a dual space What I first should do is prove that are linearly independent. How should I do it? Any ideas? Hint: notice that is if i=k, and 0 if i≠k.
Originally Posted by Opalg Hint: notice that is if i=k, and 0 if i≠k. are independent iff So if . . . right? Then and therefore it's obvious that And therefore => is basis. This is more or less is the answer right?
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