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weak topology

  1. a topology on a normed linear space X that is defined such that all linear functionals on X are continuous; it is weaker than the strong topology, meaning that some linear functionals that are continuous in the strong topology may not be continuous in the weak topology
  2. an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators, for instance on a Hilbert space
L1483035 on Wikidata ↗