In functional analysis and related areas of mathematics, the beta-dual or β-dual is a certain linear subspace of the algebraic dual of a sequence space. == Definition == Given a sequence space X, the β-dual of X is defined as X β := { x ∈ K N : ∑ i = 1 ∞ x i y i converges ∀ y ∈ X } .
In functional analysis and related areas of mathematics, the beta-dual or β-dual is a certain linear subspace of the algebraic dual of a sequence space. == Definition == Given a sequence space X, the β-dual of X is defined as X β := { x ∈ K N : ∑ i = 1 ∞ x i y i converges ∀ y ∈ X } .
Source: Wikipedia "Beta-dual space" · CC BY-SA 4.0
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