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