Lp spaces of operator-valued functions
Author
Faculty Advisor
Date
2021
Keywords
positive operator-valued measure, POVM, quantum random variable, operator-valued integration, Schatten norm, decomposable norm
Abstract (summary)
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.
Publication Information
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
Notes
Item Type
Article Post-Print
Language
Rights
All Rights Reserved