Linear maps V → W between two vector spaces form a vector space Hom F (V, W), also denoted L(V, W), or 𝓛(V, W). The space of linear maps from V to F is called the dual vector space, denoted V. Via the injective natural map V → V, any vector space can be embedded into its bidual ; the map is an isomorphism if and only if the space is finite-dimensional.