functionals

Synonyms

Examples

A dual description is provided with linear functionals (usually implemented as linear equations ). 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

Let X be a normed topological vector space over F, compatible with the absolute value in F. Then in X*, the topological dual space X of continuous F-valued linear functionals on X, all norm-closed balls are compact in the weak-* topology. Source: Internet

Indeed, it coincides with the topology of pointwise convergence of linear functionals. Source: Internet

Standard functions act by integration against a test function, but many other linear functionals do not arise in this way, and these are the "generalized functions". Source: Internet

The bra linear functionals are defined to be consistent with the inner product. Source: Internet