Incomplete Orthogonal Sets
Given a Hilbert space H and a set S of mutually orthogonal vectors in H, we can take the smallest closed linear subspace V of H containing S. Then S will be an orthogonal basis of V; which may of course be smaller than H itself, being an incomplete orthogonal set, or be H, when it is a complete orthogonal set.
Read more about this topic: Orthonormal Basis
Famous quotes containing the words incomplete and/or sets:
“A man in love is incomplete until he has married—then he’s finished.”
—Zsa Zsa Gabor (b. 1919)
“I think middle-age is the best time, if we can escape the fatty degeneration of the conscience which often sets in at about fifty.”
—W.R. (William Ralph)