Lp spaces of operator-valued functions

dc.contributor.author	Ramsey, Christopher
dc.contributor.author	Reeves, Adam
dc.date.accessioned	2023-02-13T16:54:22Z
dc.date.available	2023-02-13T16:54:22Z
dc.date.issued	2021
dc.description.abstract	We 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.
dc.description.sponsorship	NSERC Discovery Grant (grant# 2019-05430); MacEwan University USRI-Project grants.
dc.identifier.citation	Ramsey, C., & Reeves, A. (2021). Lp Spaces of Operator-Valued Functions. Integral Equations & Operator Theory, 93, 54. https://doi.org/10.1007/s00020-021-02669-x
dc.identifier.doi	https://doi.org/10.1007/s00020-021-02669-x
dc.identifier.uri	https://hdl.handle.net/20.500.14078/2994
dc.language.iso	en
dc.rights	All Rights Reserved
dc.subject	positive operator-valued measure
dc.subject	POVM
dc.subject	quantum random variable
dc.subject	operator-valued integration
dc.subject	Schatten norm
dc.subject	decomposable norm
dc.title	Lp spaces of operator-valued functions	en
dc.type	Article Post-Print

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