- #1
matness
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A thm says:
if W is a subspace of V then V = direct sum of W and CW( ort. complement of W)
i.e. for all v € V there exist w € W & w' € CW s.t. v= w+w'
Does it mean that we can write a function as a sum of two orthogonal funcs ?
Also i don't know the proof for this thm ,Can you also send a simple sketch of proof ?
Thanks..
if W is a subspace of V then V = direct sum of W and CW( ort. complement of W)
i.e. for all v € V there exist w € W & w' € CW s.t. v= w+w'
Does it mean that we can write a function as a sum of two orthogonal funcs ?
Also i don't know the proof for this thm ,Can you also send a simple sketch of proof ?
Thanks..