Von Neumann algebra conditional expectations with applications to generalized representing measures for noncommutative function algebras
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DOI: 10.1016/j.aim.2021.108104
Abstract: We establish several deep existence criteria for conditional expectations on von Neumann algebras, and then apply this theory to develop a noncommutative theory of representing measures of characters of a function algebra. Our main cycle… read more here.
Keywords: algebra conditional; conditional expectations; neumann algebra; representing measures ... See more keywords
Refractive Index of Hemoglobin Analysis: A Comparison of Alternating Conditional Expectations and Computational Intelligence Models
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DOI: 10.1021/acsomega.2c00746
Abstract: Hemoglobin is one of the most important blood elements, and its optical properties will determine all other optical properties of human blood. Since the refractive index (RI) of hemoglobin plays a vital role as a… read more here.
Keywords: index hemoglobin; conditional expectations; alternating conditional; refractive index ... See more keywords
Conditional expectations of quantum observables: I. Bohm momentum as best predictor of momentum given position
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DOI: 10.1088/1751-8121/ae1271
Abstract: Given the state of a quantum system, we define the conditional expectation of an observable with respect to a second observable, or commuting family of observables, as the real-valued function of the latter which best… read more here.
Keywords: conditional expectations; bohm momentum; best predictor; expectation ... See more keywords
Generalized conditional expectations for quantum retrodiction and smoothing
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DOI: 10.1103/physreva.105.042213
Abstract: The inference of a hidden variable’s historical value, based on observations before and after the fact, is a controversial subject in quantum mechanics. Here I address the controversy by proposing a formalism that unifies and… read more here.
Keywords: conditional expectations; generalized conditional; quantum retrodiction; expectations quantum ... See more keywords