weak convergence

(redirected from Weakly convergent)

weak convergence

[′wēk kən′vər·jəns]
(mathematics)
A sequence of elements x1, x2,… from a topological vector space X converges weakly if the sequence ƒ(x1), ƒ(x2),… converges for every continuous linear functional ƒ on X.
References in periodicals archive ?
We can now conclude the existence of weakly convergent subsequences.
A compactness argument thus allows us to successively extract weakly convergent subsequences.
5, we thus conclude the existence of weakly convergent subsequences that fulfill