Multilinear function series in conditionally free probability with amalgamation
@article{Popa2007MultilinearFS,
title={Multilinear function series in conditionally free probability with amalgamation},
author={Mihai Popa},
journal={arXiv: Operator Algebras},
year={2007}
}As in the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states are replaced by positive conditional expectations. In this framework, the paper presents several positivity results, a version of the central limit theorem and an analogue of the conditionally free R-transform constructed by means of multilinear function series.
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