total set
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Names in other languages
- Englishtotal set
- 한국어전집합
Article bodies are English and are not machine-translated. A name in another language is not a translation of the article.
In functional analysis, a total set (also called a complete set) in a vector space is a set of linear functionals T with the property that if a vector x \in X satisfies f(x) = 0 for all f \in T, then x = 0 is the zero vector. In a more general setting, a subset T of a topological vector space X is a total set or fundamental set if the linear span of T is dense in X.
In functional analysis, a total set (also called a complete set) in a vector space is a set of linear functionals T with the property that if a vector x \in X satisfies f(x) = 0 for all f \in T, then x = 0 is the zero vector. In a more general setting, a subset T of a topological vector space X is a total set or fundamental set if the linear span of T is dense in X. ==See also== ==References==
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