Total set
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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
References
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- ^ Page Module:Citation/CS1/styles.css has no content.Klauder, John R. (2010). A Modern Approach to Functional Integration. Springer Science & Business Media. p. 91. ISBN 9780817647902.
- ^ Page Module:Citation/CS1/styles.css has no content.Lomonosov, L. I. "Total set". Encyclopedia of Mathematics. Springer. Retrieved 14 September 2014.
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