Could you please help me in solving the following problem:
Show that is a closed subspace of and find .
What is if , where ?
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We define a inner product in by . By linearity, to be orthogonal to is equivalent to by orthogonal to each , .
Thank you very much for your reply but how can I prove that Y with zero even terms is closed and what its orthogonal complement.
Let . Show that is linear and continuous.
Thank you very much for your reply. But why this function.
What about ?
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