Linear Manifold

A subset of a Hilbert space is a linear manifold if it is closed under addition of vectors and scalar multiplication.

See also

Hilbert Space, Subspace, Vector Space, von Neumann Algebra

This entry contributed by Christopher Stover

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References

Loss, M. "A Synopsis of Hilbert Space Theory." 2014. http://people.math.gatech.edu/~loss/14SPRINGTEA/h-space.pdf.

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Linear Manifold

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Stover, Christopher. "Linear Manifold." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/LinearManifold.html

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