Total subset

Subset T of a topological vector space X where the linear span of T is a dense subset of X From Wikipedia, the free encyclopedia

In mathematics, more specifically in functional analysis, a subset of a topological vector space is said to be a total subset of if the linear span of is a dense subset of [1] 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

References

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