Noun
(mathematics) The vector space which comprises the set of linear functionals of a given vector space.
(mathematics) The vector space which comprises the set of continuous linear functionals of a given topological vector space.
Source: en.wiktionary.orgA Banach space can be canonically identified with a subspace of its bidual, which is the dual of its dual space. Source: Internet
Example: dual of a finite-dimensional vector space Every finite-dimensional vector space is isomorphic to its dual space, but there may be many different isomorphisms between the two spaces. Source: Internet
For example, the canonical map from a finite-dimensional vector space V to its second dual space is a canonical isomorphism; on the other hand, V is isomorphic to its dual space but not canonically in general. Source: Internet
In Banach spaces, a large part of the study involves the dual space : the space of all continuous linear maps from the space into its underlying field, so-called functionals. Source: Internet
In that approach a type (p, q) tensor T is defined as a map, : where V is a (finite-dimensional) vector space and V* is the corresponding dual space of covectors, which is linear in each of its arguments. Source: Internet
In the dual space, it expresses the creation of the economic values associated with the outputs from set input unit prices. Source: Internet