Question: Let V = C1 [ - 1, 1 ] denote the vector space of continuously differentiable functions for - 1 x 1. (a)

Let V = C1 [ - 1, 1 ] denote the vector space of continuously differentiable functions for - 1 ‰¤ x ‰¤ 1.
(a) Does the expression
Let V = C1 [ - 1, 1 ] denote

(b) Answer the same question for the subspace W = (f ˆˆ V| f(0) =0) consisting of all continuously differentiable functions which vanish at 0.

f.g)f(x) g'(x)dx

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a No because if fx is any constant function then f f 0 and so positive definiteness does not ... View full answer

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