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Unformatted text preview: zero on [0 , 1]. 5. Show that if a dierentiable function g is orthogonal to cos( x ) on L 2 [0 , ], then its derivative g is orthogonal to sin( x ) on L 2 [0 , ]. 6. Why is the space of all continuous functions ( C ) not a Banach space, for any L p norm? (a text answer will suce) 7. Give two examples of a Banach space which is not a Hilbert space. 8. Keener 2.2.14 (p.97)...
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 Fall '04
 BELMONTE
 Applied Mathematics, Vectors

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