Dual space

English

Noun

1. Template:Lb The vector space which comprises the set of linear functionals of a given vector space.
2. Template:Lb The vector space which comprises the set of continuous linear functionals of a given topological vector space.
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Usage notes

Defined for all vector spaces, the dual space may, for clarity, be called the Template:M. When defined for a Template:M, the (algebraic) dual space has a subspace that corresponds to continuous linear functionals and is called the Template:M or Template:M — or simply the dual space.

Synonyms

• Template:Sense Template:L, Template:L
• Template:Sense Template:L, Template:L

Further reading

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