closed linear manifold

closed linear manifold

[¦klōzd ¦lin·ē·ər ′man·ə·fōld]
(mathematics)
A topologically closed vector subspace of a topological vector space.
References in periodicals archive ?
A subspace of a normed space is a closed linear manifold; the closure [M.sup.-] of a linear manifold M is a subspace.
A subspace M of a normed space X is complemented if it has a subspace as an algebraic complement; that is, a closed linear manifold M of a normed space X is complemented if there is a closed linear manifold N of X such that M and N are algebraic complements.
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