In functional analysis
and related areas of mathematics
, the beta-dual
is a certain linear subspace of the algebraic dual
of a sequence space
Given a sequence space the -dual of is defined as
If is an FK-space then each in defines a continuous linear form on
The beta-dual of an FK-space E is a linear subspace of the continuous dual of E. If E is an FK-AK space then the beta dual is linear isomorphic to the continuous dual.