Functional distribution monads in functional-analytic contexts

@article{LucyshynWright2017FunctionalDM,
  title={Functional distribution monads in functional-analytic contexts},
  author={Rory B. B. Lucyshyn-Wright},
  journal={Advances in Mathematics},
  year={2017},
  volume={322},
  pages={806-860}
}
  • Rory B. B. Lucyshyn-Wright
  • Published 2017
  • Computer Science, Mathematics
  • Advances in Mathematics
  • We give a general categorical construction that yields several monads of measures and distributions as special cases, alongside several monads of filters. The construction takes place within a categorical setting for generalized functional analysis, called a functional-analytic context , formulated in terms of a given monad or algebraic theory T T enriched in a closed category V V . By employing the notion of commutant for enriched algebraic theories and monads, we define the functional… CONTINUE READING

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