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Total set

From Wikipedia, the free encyclopedia

In functional analysis, a total set (also called a complete set) in a vector space is a set of linear functionals with the property that if a vector satisfies for all then is the zero vector.[1]

In a more general setting, a subset of a topological vector space is a total set or fundamental set if the linear span of is dense in [2]

See also

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References

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  1. ^ Klauder, John R. (2010). A Modern Approach to Functional Integration. Springer Science & Business Media. p. 91. ISBN 9780817647902.
  2. ^ Lomonosov, L. I. "Total set". Encyclopedia of Mathematics. Springer. Retrieved 14 September 2014.