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deficiency, deficiency number, of an operator

The dimension $\dim D_\lambda$ of the deficiency subspace of the linear operator. Occasionally, in a wider sense, the deficiency of a linear manifold in a Hilbert space is defined to be the dimension of the orthogonal complement of this manifold.

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Defect. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by V.I. Sobolev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article