Flag (linear Algebra) - Subspace Nest

In an infinite-dimensional space V, as used in functional analysis, the flag idea generalises to a subspace nest, namely a collection of subspaces of V that is a total order for inclusion and which further is closed under arbitrary intersections and closed linear spans. See nest algebra.

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Famous quotes containing the word nest:

    He builds a big town with his mouth, but not even a fly’s nest with his hands.
    —Estonian. Trans. by Ilse Lehiste (1993)