Total subset

Template:Short description In mathematics, more specifically in functional analysis, a subset $T$ of a topological vector space $X$ is said to be a total subset of $X$ if the linear span of $T$ is a dense subset of $X.$Template:Sfn This condition arises frequently in many theorems of functional analysis.

Examples

Unbounded self-adjoint operators on Hilbert spaces are defined on total subsets.

See also

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References

• Template:Schaefer Wolff Topological Vector Spaces

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