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:
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—John Dos Passos (1896–1970)
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That, once grief sets to growing, grief may rest:
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And no one seem neglecting or neglected?
A prudent grief will not despise such aids.”
—Robert Frost (1874–1963)