“dual space (algebraic)”的概念、定义、翻译、参考文献-科学参考

单词	dual space (algebraic)
释义	dual space (algebraic) Mathematics Given a vector space V over a field F, the (algebraic) dual space V* is the vector space of linear functionals φ‎:V→F with addition and scalar multiplication defined pointwise. $\begin{matrix} (φ_{1} + φ_{2}) (v) = φ_{1} (v) + φ_{2} (v), \\ (c φ) (v) = c (φ (v)) . \end{matrix}$ If V is finite-dimensional, then V* has the same dimension (see dual basis).
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