# 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} }

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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