Unformatted text preview: zero on [0 , 1]. 5. Show that if a diﬀerentiable function g is orthogonal to cos( x ) on L 2 [0 , π ], then its derivative g is orthogonal to sin( x ) on L 2 [0 , π ]. 6. Why is the space of all continuous functions ( C ) not a Banach space, for any L p norm? (a text answer will suﬃce) 7. Give two examples of a Banach space which is not a Hilbert space. 8. Keener 2.2.14 (p.97)...
View
Full Document
 Fall '04
 BELMONTE
 Linear Algebra, Applied Mathematics, Vectors, Vector Space, Hilbert space, Euclidean Inner Product, space L2

Click to edit the document details