Definition:Dual Vector Space
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This page is about Dual Vector Space in the context of Linear Algebra. For other uses, see Dual.
Let $V$ be a vector space.
Let $\phi: V \to \R$ be a linear mapping.
The set of all $\phi$ is called a dual space (of $V$) and is denoted by $V^*$.
- Definition:Algebraic Dual: the concept as applied to a module over a general commutative ring
- Definition:Normed Dual Space
- 1964: Peter Freyd: Abelian Categories ... (previous) ... (next): Introduction
- 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.): Appendix $\text B$. Review of Tensors