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Chapter 7: Biadditive and Bilinear Operators

      https://doi.org/10.1142/9789813232778_0007Cited by:0 (Source: Crossref)
      Abstract:

      In this chapter we consider continuity results for biadditive and bilinear operators. These operators fit nicely into the framework of abstract triples. Let E, G be Hausdorff Abelian topological groups and F a set. Let b : E × FG be such that b(·, y) : EG is additive and continuous for every yF. We consider the triple

      (E,F:G)
      under the map b