Hello,

I have a question, that states that an orthogonal set is called the backward orthogonalisation of the set in a Hilbert space, if for all n.

I am requested to find the backward orthogonalisation of the set , where , where is the standard basis of .

I am pretty sure I should be able to express in the form for all k, but that quickly leads me to for all n, and that can't be it.

Do you have any idea?

Thanks.