weak topology


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weak topology

[′wēk tə′päl·ə·jē]
(mathematics)
A topology on a topological vector space X whose open neighborhoods around a point x are obtained from those points y of X for which every ƒi (x) is close to ƒi (y), ƒi appearing in a finite list of linear functionals.
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with respect to the weak topology, see [3], then there exists a sequence [([[phi].
for the weak topology, so for all [xi] [member of] S'([?