- #1
Raven2816
- 20
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{T_a} is an orthonormal system (not necessarily countable) in a Hilbert space H. x is an arbitrary vector in H.
i must show that the inner product <x, T_a> is different fron 0 for at most countably many a.
i'm not even quite sure where to begin. i know that the inner product is the sum(B_aT_a) in a hilbert space, but I'm sure what other information i have to work with.
thanks
i must show that the inner product <x, T_a> is different fron 0 for at most countably many a.
i'm not even quite sure where to begin. i know that the inner product is the sum(B_aT_a) in a hilbert space, but I'm sure what other information i have to work with.
thanks