Double dual
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#REDIRECT Dual space#Injection into the double-dual
In mathematics, any vector space V has a corresponding double dual vector space (or just double dual for short) defined as the dual space of the dual space of V.
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In mathematics, the double dual is the dual of the dual of an object, for various definitions of duality. Examples include:
- Algebraic vector space, : Dual space § Injection into the double-dual
- Topological vector space, : Dual space § Double dual
- Normed vector space, : Dual norm § The double dual of a normed linear space
- Locally compact abelian group, : Pontryagin duality
- Module, : Dual module
