Ramsey, ChristopherReeves, Adam2023-02-132023-02-132021Ramsey, C., & Reeves, A. (2021). Lp Spaces of Operator-Valued Functions. Integral Equations & Operator Theory, 93, 54. https://doi.org/10.1007/s00020-021-02669-xhttps://hdl.handle.net/20.500.14078/2994We define a p-norm in the context of quantum random variables, measurable operator-valued functions with respect to a positive operator-valued measure. This norm leads to a operator-valued Lp space that is shown to be complete. Various other norm candidates are considered as well as generalizations of H¨older’s inequality to this new context.enAll Rights Reservedpositive operator-valued measurePOVMquantum random variableoperator-valued integrationSchatten normdecomposable normArticle Post-Printhttps://doi.org/10.1007/s00020-021-02669-x